Finding the Third Proportional to 37,948.50 and 54,658.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,948.50 : 54,658.13 = 54,658.13 : x
2. Step 2: Convert to fraction form
   37,948.50/54,658.13 = 54,658.13/x
3. Step 3: Cross multiply
   37,948.50x = 54,658.13 × 54,658.13
4. Step 4: Simplify right side
   37,948.50x = 2,987,510,628.52
5. Step 5: Solve for x
   x = 2,987,510,628.52/37,948.50
6. Step 6: Final answer
   x = 78,725.39