Finding the Third Proportional to 13,821.50 and 32,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,821.50 : 32,490.50 = 32,490.50 : x
2. Step 2: Convert to fraction form
   13,821.50/32,490.50 = 32,490.50/x
3. Step 3: Cross multiply
   13,821.50x = 32,490.50 × 32,490.50
4. Step 4: Simplify right side
   13,821.50x = 1,055,632,590.25
5. Step 5: Solve for x
   x = 1,055,632,590.25/13,821.50
6. Step 6: Final answer
   x = 76,376.12