Finding the Third Proportional to 14,782.50 and 31,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,782.50 : 31,933.50 = 31,933.50 : x
2. Step 2: Convert to fraction form
   14,782.50/31,933.50 = 31,933.50/x
3. Step 3: Cross multiply
   14,782.50x = 31,933.50 × 31,933.50
4. Step 4: Simplify right side
   14,782.50x = 1,019,748,422.25
5. Step 5: Solve for x
   x = 1,019,748,422.25/14,782.50
6. Step 6: Final answer
   x = 68,983.49