Finding the Third Proportional to 37,488 and 56,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,488 : 56,616.50 = 56,616.50 : x
2. Step 2: Convert to fraction form
   37,488/56,616.50 = 56,616.50/x
3. Step 3: Cross multiply
   37,488x = 56,616.50 × 56,616.50
4. Step 4: Simplify right side
   37,488x = 3,205,428,072.25
5. Step 5: Solve for x
   x = 3,205,428,072.25/37,488
6. Step 6: Final answer
   x = 85,505.44