Finding the Third Proportional to 53,825 and 84,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,825 : 84,007.50 = 84,007.50 : x
2. Step 2: Convert to fraction form
   53,825/84,007.50 = 84,007.50/x
3. Step 3: Cross multiply
   53,825x = 84,007.50 × 84,007.50
4. Step 4: Simplify right side
   53,825x = 7,057,260,056.25
5. Step 5: Solve for x
   x = 7,057,260,056.25/53,825
6. Step 6: Final answer
   x = 131,114.91