Finding the Third Proportional to 36,577.50 and 49,142.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36,577.50 : 49,142.25 = 49,142.25 : x
2. Step 2: Convert to fraction form
   36,577.50/49,142.25 = 49,142.25/x
3. Step 3: Cross multiply
   36,577.50x = 49,142.25 × 49,142.25
4. Step 4: Simplify right side
   36,577.50x = 2,414,960,735.06
5. Step 5: Solve for x
   x = 2,414,960,735.06/36,577.50
6. Step 6: Final answer
   x = 66,023.12