Finding the Third Proportional to 36,400 and 54,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,400 : 54,856.50 = 54,856.50 : x
2. Step 2: Convert to fraction form
   36,400/54,856.50 = 54,856.50/x
3. Step 3: Cross multiply
   36,400x = 54,856.50 × 54,856.50
4. Step 4: Simplify right side
   36,400x = 3,009,235,592.25
5. Step 5: Solve for x
   x = 3,009,235,592.25/36,400
6. Step 6: Final answer
   x = 82,671.31