Finding the Third Proportional to 54,005.25 and 81,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,005.25 : 81,007.50 = 81,007.50 : x
2. Step 2: Convert to fraction form
   54,005.25/81,007.50 = 81,007.50/x
3. Step 3: Cross multiply
   54,005.25x = 81,007.50 × 81,007.50
4. Step 4: Simplify right side
   54,005.25x = 6,562,215,056.25
5. Step 5: Solve for x
   x = 6,562,215,056.25/54,005.25
6. Step 6: Final answer
   x = 121,510.69