Finding the Third Proportional to 32,394 and 71,166

Step by Step Solution

1. Step 1: Write the proportion equation
   32,394 : 71,166 = 71,166 : x
2. Step 2: Convert to fraction form
   32,394/71,166 = 71,166/x
3. Step 3: Cross multiply
   32,394x = 71,166 × 71,166
4. Step 4: Simplify right side
   32,394x = 5,064,599,556
5. Step 5: Solve for x
   x = 5,064,599,556/32,394
6. Step 6: Final answer
   x = 156,343.75