Finding the Third Proportional to 37,643.75 and 51,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,643.75 : 51,617.50 = 51,617.50 : x
2. Step 2: Convert to fraction form
   37,643.75/51,617.50 = 51,617.50/x
3. Step 3: Cross multiply
   37,643.75x = 51,617.50 × 51,617.50
4. Step 4: Simplify right side
   37,643.75x = 2,664,366,306.25
5. Step 5: Solve for x
   x = 2,664,366,306.25/37,643.75
6. Step 6: Final answer
   x = 70,778.45