Finding the Third Proportional to 10,732.50 and 23,252.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,732.50 : 23,252.06 = 23,252.06 : x
2. Step 2: Convert to fraction form
   10,732.50/23,252.06 = 23,252.06/x
3. Step 3: Cross multiply
   10,732.50x = 23,252.06 × 23,252.06
4. Step 4: Simplify right side
   10,732.50x = 540,658,410.50
5. Step 5: Solve for x
   x = 540,658,410.50/10,732.50
6. Step 6: Final answer
   x = 50,375.81