Finding the Third Proportional to 13,644 and 32,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,644 : 32,287.50 = 32,287.50 : x
2. Step 2: Convert to fraction form
   13,644/32,287.50 = 32,287.50/x
3. Step 3: Cross multiply
   13,644x = 32,287.50 × 32,287.50
4. Step 4: Simplify right side
   13,644x = 1,042,482,656.25
5. Step 5: Solve for x
   x = 1,042,482,656.25/13,644
6. Step 6: Final answer
   x = 76,405.94