Finding the Third Proportional to 38,179 and 55,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,179 : 55,756.50 = 55,756.50 : x
2. Step 2: Convert to fraction form
   38,179/55,756.50 = 55,756.50/x
3. Step 3: Cross multiply
   38,179x = 55,756.50 × 55,756.50
4. Step 4: Simplify right side
   38,179x = 3,108,787,292.25
5. Step 5: Solve for x
   x = 3,108,787,292.25/38,179
6. Step 6: Final answer
   x = 81,426.63