Finding the Third Proportional to 13,663.50 and 32,241.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,663.50 : 32,241.75 = 32,241.75 : x
2. Step 2: Convert to fraction form
   13,663.50/32,241.75 = 32,241.75/x
3. Step 3: Cross multiply
   13,663.50x = 32,241.75 × 32,241.75
4. Step 4: Simplify right side
   13,663.50x = 1,039,530,443.06
5. Step 5: Solve for x
   x = 1,039,530,443.06/13,663.50
6. Step 6: Final answer
   x = 76,080.83