Finding the Third Proportional to 22,329 and 31,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,329 : 31,738.50 = 31,738.50 : x
2. Step 2: Convert to fraction form
   22,329/31,738.50 = 31,738.50/x
3. Step 3: Cross multiply
   22,329x = 31,738.50 × 31,738.50
4. Step 4: Simplify right side
   22,329x = 1,007,332,382.25
5. Step 5: Solve for x
   x = 1,007,332,382.25/22,329
6. Step 6: Final answer
   x = 45,113.19