Finding the Third Proportional to 13,644 and 29,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,644 : 29,380.50 = 29,380.50 : x
2. Step 2: Convert to fraction form
   13,644/29,380.50 = 29,380.50/x
3. Step 3: Cross multiply
   13,644x = 29,380.50 × 29,380.50
4. Step 4: Simplify right side
   13,644x = 863,213,780.25
5. Step 5: Solve for x
   x = 863,213,780.25/13,644
6. Step 6: Final answer
   x = 63,266.91