Finding the Third Proportional to 54,257 and 84,002

Step by Step Solution

1. Step 1: Write the proportion equation
   54,257 : 84,002 = 84,002 : x
2. Step 2: Convert to fraction form
   54,257/84,002 = 84,002/x
3. Step 3: Cross multiply
   54,257x = 84,002 × 84,002
4. Step 4: Simplify right side
   54,257x = 7,056,336,004
5. Step 5: Solve for x
   x = 7,056,336,004/54,257
6. Step 6: Final answer
   x = 130,053.93