Finding the Third Proportional to 24,148.50 and 31,830.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,148.50 : 31,830.75 = 31,830.75 : x
2. Step 2: Convert to fraction form
   24,148.50/31,830.75 = 31,830.75/x
3. Step 3: Cross multiply
   24,148.50x = 31,830.75 × 31,830.75
4. Step 4: Simplify right side
   24,148.50x = 1,013,196,645.56
5. Step 5: Solve for x
   x = 1,013,196,645.56/24,148.50
6. Step 6: Final answer
   x = 41,956.92