Finding the Third Proportional to 35,092 and 53,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,092 : 53,935.50 = 53,935.50 : x
2. Step 2: Convert to fraction form
   35,092/53,935.50 = 53,935.50/x
3. Step 3: Cross multiply
   35,092x = 53,935.50 × 53,935.50
4. Step 4: Simplify right side
   35,092x = 2,909,038,160.25
5. Step 5: Solve for x
   x = 2,909,038,160.25/35,092
6. Step 6: Final answer
   x = 82,897.47