Finding the Third Proportional to 22,972.50 and 31,177.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,972.50 : 31,177.50 = 31,177.50 : x
2. Step 2: Convert to fraction form
   22,972.50/31,177.50 = 31,177.50/x
3. Step 3: Cross multiply
   22,972.50x = 31,177.50 × 31,177.50
4. Step 4: Simplify right side
   22,972.50x = 972,036,506.25
5. Step 5: Solve for x
   x = 972,036,506.25/22,972.50
6. Step 6: Final answer
   x = 42,313.05