Finding the Third Proportional to 31,297.50 and 64,413

Step by Step Solution

1. Step 1: Write the proportion equation
   31,297.50 : 64,413 = 64,413 : x
2. Step 2: Convert to fraction form
   31,297.50/64,413 = 64,413/x
3. Step 3: Cross multiply
   31,297.50x = 64,413 × 64,413
4. Step 4: Simplify right side
   31,297.50x = 4,149,034,569
5. Step 5: Solve for x
   x = 4,149,034,569/31,297.50
6. Step 6: Final answer
   x = 132,567.60