Finding the Third Proportional to 32,900 and 71,344

Step by Step Solution

1. Step 1: Write the proportion equation
   32,900 : 71,344 = 71,344 : x
2. Step 2: Convert to fraction form
   32,900/71,344 = 71,344/x
3. Step 3: Cross multiply
   32,900x = 71,344 × 71,344
4. Step 4: Simplify right side
   32,900x = 5,089,966,336
5. Step 5: Solve for x
   x = 5,089,966,336/32,900
6. Step 6: Final answer
   x = 154,710.22