Finding the Third Proportional to 14,496 and 31,761

Step by Step Solution

1. Step 1: Write the proportion equation
   14,496 : 31,761 = 31,761 : x
2. Step 2: Convert to fraction form
   14,496/31,761 = 31,761/x
3. Step 3: Cross multiply
   14,496x = 31,761 × 31,761
4. Step 4: Simplify right side
   14,496x = 1,008,761,121
5. Step 5: Solve for x
   x = 1,008,761,121/14,496
6. Step 6: Final answer
   x = 69,588.93