Finding the Third Proportional to 14,782.50 and 31,875

Step by Step Solution

1. Step 1: Write the proportion equation
   14,782.50 : 31,875 = 31,875 : x
2. Step 2: Convert to fraction form
   14,782.50/31,875 = 31,875/x
3. Step 3: Cross multiply
   14,782.50x = 31,875 × 31,875
4. Step 4: Simplify right side
   14,782.50x = 1,016,015,625
5. Step 5: Solve for x
   x = 1,016,015,625/14,782.50
6. Step 6: Final answer
   x = 68,730.97