Finding the Third Proportional to 13,937.25 and 29,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,937.25 : 29,782.50 = 29,782.50 : x
2. Step 2: Convert to fraction form
   13,937.25/29,782.50 = 29,782.50/x
3. Step 3: Cross multiply
   13,937.25x = 29,782.50 × 29,782.50
4. Step 4: Simplify right side
   13,937.25x = 886,997,306.25
5. Step 5: Solve for x
   x = 886,997,306.25/13,937.25
6. Step 6: Final answer
   x = 63,642.20