Finding the Third Proportional to 20,527.50 and 31,413

Step by Step Solution

1. Step 1: Write the proportion equation
   20,527.50 : 31,413 = 31,413 : x
2. Step 2: Convert to fraction form
   20,527.50/31,413 = 31,413/x
3. Step 3: Cross multiply
   20,527.50x = 31,413 × 31,413
4. Step 4: Simplify right side
   20,527.50x = 986,776,569
5. Step 5: Solve for x
   x = 986,776,569/20,527.50
6. Step 6: Final answer
   x = 48,070.96