Finding the Third Proportional to 53,508 and 82,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,508 : 82,807.50 = 82,807.50 : x
2. Step 2: Convert to fraction form
   53,508/82,807.50 = 82,807.50/x
3. Step 3: Cross multiply
   53,508x = 82,807.50 × 82,807.50
4. Step 4: Simplify right side
   53,508x = 6,857,082,056.25
5. Step 5: Solve for x
   x = 6,857,082,056.25/53,508
6. Step 6: Final answer
   x = 128,150.60