Finding the Third Proportional to 54,138 and 83,321.25

Step by Step Solution

1. Step 1: Write the proportion equation
   54,138 : 83,321.25 = 83,321.25 : x
2. Step 2: Convert to fraction form
   54,138/83,321.25 = 83,321.25/x
3. Step 3: Cross multiply
   54,138x = 83,321.25 × 83,321.25
4. Step 4: Simplify right side
   54,138x = 6,942,430,701.56
5. Step 5: Solve for x
   x = 6,942,430,701.56/54,138
6. Step 6: Final answer
   x = 128,235.82