Finding the Third Proportional to 32,413 and 71,162

Step by Step Solution

1. Step 1: Write the proportion equation
   32,413 : 71,162 = 71,162 : x
2. Step 2: Convert to fraction form
   32,413/71,162 = 71,162/x
3. Step 3: Cross multiply
   32,413x = 71,162 × 71,162
4. Step 4: Simplify right side
   32,413x = 5,064,030,244
5. Step 5: Solve for x
   x = 5,064,030,244/32,413
6. Step 6: Final answer
   x = 156,234.54