Finding the Third Proportional to 13,570 and 32,685

Step by Step Solution

1. Step 1: Write the proportion equation
   13,570 : 32,685 = 32,685 : x
2. Step 2: Convert to fraction form
   13,570/32,685 = 32,685/x
3. Step 3: Cross multiply
   13,570x = 32,685 × 32,685
4. Step 4: Simplify right side
   13,570x = 1,068,309,225
5. Step 5: Solve for x
   x = 1,068,309,225/13,570
6. Step 6: Final answer
   x = 78,725.81