Finding the Third Proportional to 13,700 and 32,000

Step by Step Solution

1. Step 1: Write the proportion equation
   13,700 : 32,000 = 32,000 : x
2. Step 2: Convert to fraction form
   13,700/32,000 = 32,000/x
3. Step 3: Cross multiply
   13,700x = 32,000 × 32,000
4. Step 4: Simplify right side
   13,700x = 1,024,000,000
5. Step 5: Solve for x
   x = 1,024,000,000/13,700
6. Step 6: Final answer
   x = 74,744.53