Finding the Third Proportional to 31,189.50 and 67,500

Step by Step Solution

1. Step 1: Write the proportion equation
   31,189.50 : 67,500 = 67,500 : x
2. Step 2: Convert to fraction form
   31,189.50/67,500 = 67,500/x
3. Step 3: Cross multiply
   31,189.50x = 67,500 × 67,500
4. Step 4: Simplify right side
   31,189.50x = 4,556,250,000
5. Step 5: Solve for x
   x = 4,556,250,000/31,189.50
6. Step 6: Final answer
   x = 146,082.82