Finding the Third Proportional to 37,713 and 51,949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,713 : 51,949.50 = 51,949.50 : x
2. Step 2: Convert to fraction form
   37,713/51,949.50 = 51,949.50/x
3. Step 3: Cross multiply
   37,713x = 51,949.50 × 51,949.50
4. Step 4: Simplify right side
   37,713x = 2,698,750,550.25
5. Step 5: Solve for x
   x = 2,698,750,550.25/37,713
6. Step 6: Final answer
   x = 71,560.22