Finding the Third Proportional to 32,494 and 71,194

Step by Step Solution

1. Step 1: Write the proportion equation
   32,494 : 71,194 = 71,194 : x
2. Step 2: Convert to fraction form
   32,494/71,194 = 71,194/x
3. Step 3: Cross multiply
   32,494x = 71,194 × 71,194
4. Step 4: Simplify right side
   32,494x = 5,068,585,636
5. Step 5: Solve for x
   x = 5,068,585,636/32,494
6. Step 6: Final answer
   x = 155,985.28