Finding the Third Proportional to 53,520.38 and 83,344.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,520.38 : 83,344.50 = 83,344.50 : x
2. Step 2: Convert to fraction form
   53,520.38/83,344.50 = 83,344.50/x
3. Step 3: Cross multiply
   53,520.38x = 83,344.50 × 83,344.50
4. Step 4: Simplify right side
   53,520.38x = 6,946,305,680.25
5. Step 5: Solve for x
   x = 6,946,305,680.25/53,520.38
6. Step 6: Final answer
   x = 129,788.06