Finding the Third Proportional to 32,858 and 71,200

Step by Step Solution

1. Step 1: Write the proportion equation
   32,858 : 71,200 = 71,200 : x
2. Step 2: Convert to fraction form
   32,858/71,200 = 71,200/x
3. Step 3: Cross multiply
   32,858x = 71,200 × 71,200
4. Step 4: Simplify right side
   32,858x = 5,069,440,000
5. Step 5: Solve for x
   x = 5,069,440,000/32,858
6. Step 6: Final answer
   x = 154,283.28