Finding the Third Proportional to 32,840 and 71,188

Step by Step Solution

1. Step 1: Write the proportion equation
   32,840 : 71,188 = 71,188 : x
2. Step 2: Convert to fraction form
   32,840/71,188 = 71,188/x
3. Step 3: Cross multiply
   32,840x = 71,188 × 71,188
4. Step 4: Simplify right side
   32,840x = 5,067,731,344
5. Step 5: Solve for x
   x = 5,067,731,344/32,840
6. Step 6: Final answer
   x = 154,315.81