Finding the Third Proportional to 22,974 and 31,179.56

Step by Step Solution

1. Step 1: Write the proportion equation
   22,974 : 31,179.56 = 31,179.56 : x
2. Step 2: Convert to fraction form
   22,974/31,179.56 = 31,179.56/x
3. Step 3: Cross multiply
   22,974x = 31,179.56 × 31,179.56
4. Step 4: Simplify right side
   22,974x = 972,165,117.69
5. Step 5: Solve for x
   x = 972,165,117.69/22,974
6. Step 6: Final answer
   x = 42,315.88