Finding the Third Proportional to 52,796 and 82,650

Step by Step Solution

1. Step 1: Write the proportion equation
   52,796 : 82,650 = 82,650 : x
2. Step 2: Convert to fraction form
   52,796/82,650 = 82,650/x
3. Step 3: Cross multiply
   52,796x = 82,650 × 82,650
4. Step 4: Simplify right side
   52,796x = 6,831,022,500
5. Step 5: Solve for x
   x = 6,831,022,500/52,796
6. Step 6: Final answer
   x = 129,385.23