Finding the Third Proportional to 32,547 and 71,321

Step by Step Solution

1. Step 1: Write the proportion equation
   32,547 : 71,321 = 71,321 : x
2. Step 2: Convert to fraction form
   32,547/71,321 = 71,321/x
3. Step 3: Cross multiply
   32,547x = 71,321 × 71,321
4. Step 4: Simplify right side
   32,547x = 5,086,685,041
5. Step 5: Solve for x
   x = 5,086,685,041/32,547
6. Step 6: Final answer
   x = 156,287.37