Finding the Third Proportional to 24,853.78 and 37,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,853.78 : 37,642.50 = 37,642.50 : x
2. Step 2: Convert to fraction form
   24,853.78/37,642.50 = 37,642.50/x
3. Step 3: Cross multiply
   24,853.78x = 37,642.50 × 37,642.50
4. Step 4: Simplify right side
   24,853.78x = 1,416,957,806.25
5. Step 5: Solve for x
   x = 1,416,957,806.25/24,853.78
6. Step 6: Final answer
   x = 57,011.76