Finding the Third Proportional to 32,748 and 50,400

Step by Step Solution

1. Step 1: Write the proportion equation
   32,748 : 50,400 = 50,400 : x
2. Step 2: Convert to fraction form
   32,748/50,400 = 50,400/x
3. Step 3: Cross multiply
   32,748x = 50,400 × 50,400
4. Step 4: Simplify right side
   32,748x = 2,540,160,000
5. Step 5: Solve for x
   x = 2,540,160,000/32,748
6. Step 6: Final answer
   x = 77,566.87