Finding the Third Proportional to 53,405 and 80,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,405 : 80,516.50 = 80,516.50 : x
2. Step 2: Convert to fraction form
   53,405/80,516.50 = 80,516.50/x
3. Step 3: Cross multiply
   53,405x = 80,516.50 × 80,516.50
4. Step 4: Simplify right side
   53,405x = 6,482,906,772.25
5. Step 5: Solve for x
   x = 6,482,906,772.25/53,405
6. Step 6: Final answer
   x = 121,391.38