Finding the Third Proportional to 2,687,185,092,946 and 5,922,104,104,016

Step by Step Solution

1. Step 1: Write the proportion equation
   2,687,185,092,946 : 5,922,104,104,016 = 5,922,104,104,016 : x
2. Step 2: Convert to fraction form
   2,687,185,092,946/5,922,104,104,016 = 5,922,104,104,016/x
3. Step 3: Cross multiply
   2,687,185,092,946x = 5,922,104,104,016 × 5,922,104,104,016
4. Step 4: Simplify right side
   2,687,185,092,946x = 35,071,317,018,803,151,935,897,600
5. Step 5: Solve for x
   x = 35,071,317,018,803,151,935,897,600/2,687,185,092,946
6. Step 6: Final answer
   x = 13,051,321,664,022.02