Finding the Third Proportional to 13,562.25 and 32,661

Step by Step Solution

1. Step 1: Write the proportion equation
   13,562.25 : 32,661 = 32,661 : x
2. Step 2: Convert to fraction form
   13,562.25/32,661 = 32,661/x
3. Step 3: Cross multiply
   13,562.25x = 32,661 × 32,661
4. Step 4: Simplify right side
   13,562.25x = 1,066,740,921
5. Step 5: Solve for x
   x = 1,066,740,921/13,562.25
6. Step 6: Final answer
   x = 78,655.16