Finding the Third Proportional to 31,401 and 73,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,401 : 73,651.50 = 73,651.50 : x
2. Step 2: Convert to fraction form
   31,401/73,651.50 = 73,651.50/x
3. Step 3: Cross multiply
   31,401x = 73,651.50 × 73,651.50
4. Step 4: Simplify right side
   31,401x = 5,424,543,452.25
5. Step 5: Solve for x
   x = 5,424,543,452.25/31,401
6. Step 6: Final answer
   x = 172,750.66