Finding the Third Proportional to 32,280 and 70,782

Step by Step Solution

1. Step 1: Write the proportion equation
   32,280 : 70,782 = 70,782 : x
2. Step 2: Convert to fraction form
   32,280/70,782 = 70,782/x
3. Step 3: Cross multiply
   32,280x = 70,782 × 70,782
4. Step 4: Simplify right side
   32,280x = 5,010,091,524
5. Step 5: Solve for x
   x = 5,010,091,524/32,280
6. Step 6: Final answer
   x = 155,207.30