Finding the Third Proportional to 37,552.50 and 76,142.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,552.50 : 76,142.25 = 76,142.25 : x
2. Step 2: Convert to fraction form
   37,552.50/76,142.25 = 76,142.25/x
3. Step 3: Cross multiply
   37,552.50x = 76,142.25 × 76,142.25
4. Step 4: Simplify right side
   37,552.50x = 5,797,642,235.06
5. Step 5: Solve for x
   x = 5,797,642,235.06/37,552.50
6. Step 6: Final answer
   x = 154,387.65