Finding the Third Proportional to 51,000 and 76,500

Step by Step Solution

1. Step 1: Write the proportion equation
   51,000 : 76,500 = 76,500 : x
2. Step 2: Convert to fraction form
   51,000/76,500 = 76,500/x
3. Step 3: Cross multiply
   51,000x = 76,500 × 76,500
4. Step 4: Simplify right side
   51,000x = 5,852,250,000
5. Step 5: Solve for x
   x = 5,852,250,000/51,000
6. Step 6: Final answer
   x = 114,750