Finding the Third Proportional to 36,648.50 and 54,876.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,648.50 : 54,876.75 = 54,876.75 : x
2. Step 2: Convert to fraction form
   36,648.50/54,876.75 = 54,876.75/x
3. Step 3: Cross multiply
   36,648.50x = 54,876.75 × 54,876.75
4. Step 4: Simplify right side
   36,648.50x = 3,011,457,690.56
5. Step 5: Solve for x
   x = 3,011,457,690.56/36,648.50
6. Step 6: Final answer
   x = 82,171.38