Finding the Third Proportional to 53,761 and 83,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,761 : 83,585.50 = 83,585.50 : x
2. Step 2: Convert to fraction form
   53,761/83,585.50 = 83,585.50/x
3. Step 3: Cross multiply
   53,761x = 83,585.50 × 83,585.50
4. Step 4: Simplify right side
   53,761x = 6,986,535,810.25
5. Step 5: Solve for x
   x = 6,986,535,810.25/53,761
6. Step 6: Final answer
   x = 129,955.47