Finding the Third Proportional to 32,460 and 71,310

Step by Step Solution

1. Step 1: Write the proportion equation
   32,460 : 71,310 = 71,310 : x
2. Step 2: Convert to fraction form
   32,460/71,310 = 71,310/x
3. Step 3: Cross multiply
   32,460x = 71,310 × 71,310
4. Step 4: Simplify right side
   32,460x = 5,085,116,100
5. Step 5: Solve for x
   x = 5,085,116,100/32,460
6. Step 6: Final answer
   x = 156,657.92