Finding the Third Proportional to 37,665.50 and 51,154.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,665.50 : 51,154.25 = 51,154.25 : x
2. Step 2: Convert to fraction form
   37,665.50/51,154.25 = 51,154.25/x
3. Step 3: Cross multiply
   37,665.50x = 51,154.25 × 51,154.25
4. Step 4: Simplify right side
   37,665.50x = 2,616,757,293.06
5. Step 5: Solve for x
   x = 2,616,757,293.06/37,665.50
6. Step 6: Final answer
   x = 69,473.58