Finding the Third Proportional to 36,414 and 54,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,414 : 54,877.50 = 54,877.50 : x
2. Step 2: Convert to fraction form
   36,414/54,877.50 = 54,877.50/x
3. Step 3: Cross multiply
   36,414x = 54,877.50 × 54,877.50
4. Step 4: Simplify right side
   36,414x = 3,011,540,006.25
5. Step 5: Solve for x
   x = 3,011,540,006.25/36,414
6. Step 6: Final answer
   x = 82,702.81