Finding the Third Proportional to 13,536 and 32,610

Step by Step Solution

1. Step 1: Write the proportion equation
   13,536 : 32,610 = 32,610 : x
2. Step 2: Convert to fraction form
   13,536/32,610 = 32,610/x
3. Step 3: Cross multiply
   13,536x = 32,610 × 32,610
4. Step 4: Simplify right side
   13,536x = 1,063,412,100
5. Step 5: Solve for x
   x = 1,063,412,100/13,536
6. Step 6: Final answer
   x = 78,561.77