Finding the Third Proportional to 32,890 and 71,315

Step by Step Solution

1. Step 1: Write the proportion equation
   32,890 : 71,315 = 71,315 : x
2. Step 2: Convert to fraction form
   32,890/71,315 = 71,315/x
3. Step 3: Cross multiply
   32,890x = 71,315 × 71,315
4. Step 4: Simplify right side
   32,890x = 5,085,829,225
5. Step 5: Solve for x
   x = 5,085,829,225/32,890
6. Step 6: Final answer
   x = 154,631.48