Finding the Third Proportional to 34,116 and 52,902

Step by Step Solution

1. Step 1: Write the proportion equation
   34,116 : 52,902 = 52,902 : x
2. Step 2: Convert to fraction form
   34,116/52,902 = 52,902/x
3. Step 3: Cross multiply
   34,116x = 52,902 × 52,902
4. Step 4: Simplify right side
   34,116x = 2,798,621,604
5. Step 5: Solve for x
   x = 2,798,621,604/34,116
6. Step 6: Final answer
   x = 82,032.52