Finding the Third Proportional to 32,340 and 71,052

Step by Step Solution

1. Step 1: Write the proportion equation
   32,340 : 71,052 = 71,052 : x
2. Step 2: Convert to fraction form
   32,340/71,052 = 71,052/x
3. Step 3: Cross multiply
   32,340x = 71,052 × 71,052
4. Step 4: Simplify right side
   32,340x = 5,048,386,704
5. Step 5: Solve for x
   x = 5,048,386,704/32,340
6. Step 6: Final answer
   x = 156,103.48