Finding the Third Proportional to 36,977.25 and 55,401.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,977.25 : 55,401.75 = 55,401.75 : x
2. Step 2: Convert to fraction form
   36,977.25/55,401.75 = 55,401.75/x
3. Step 3: Cross multiply
   36,977.25x = 55,401.75 × 55,401.75
4. Step 4: Simplify right side
   36,977.25x = 3,069,353,903.06
5. Step 5: Solve for x
   x = 3,069,353,903.06/36,977.25
6. Step 6: Final answer
   x = 83,006.55