Finding the Third Proportional to 52,650 and 83,695

Step by Step Solution

1. Step 1: Write the proportion equation
   52,650 : 83,695 = 83,695 : x
2. Step 2: Convert to fraction form
   52,650/83,695 = 83,695/x
3. Step 3: Cross multiply
   52,650x = 83,695 × 83,695
4. Step 4: Simplify right side
   52,650x = 7,004,853,025
5. Step 5: Solve for x
   x = 7,004,853,025/52,650
6. Step 6: Final answer
   x = 133,045.64