Finding the Third Proportional to 54,077 and 72,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,077 : 72,335.50 = 72,335.50 : x
2. Step 2: Convert to fraction form
   54,077/72,335.50 = 72,335.50/x
3. Step 3: Cross multiply
   54,077x = 72,335.50 × 72,335.50
4. Step 4: Simplify right side
   54,077x = 5,232,424,560.25
5. Step 5: Solve for x
   x = 5,232,424,560.25/54,077
6. Step 6: Final answer
   x = 96,758.78