Finding the Third Proportional to 37,658.81 and 49,978.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,658.81 : 49,978.13 = 49,978.13 : x
2. Step 2: Convert to fraction form
   37,658.81/49,978.13 = 49,978.13/x
3. Step 3: Cross multiply
   37,658.81x = 49,978.13 × 49,978.13
4. Step 4: Simplify right side
   37,658.81x = 2,497,812,978.52
5. Step 5: Solve for x
   x = 2,497,812,978.52/37,658.81
6. Step 6: Final answer
   x = 66,327.45