Finding the Third Proportional to 34,830 and 54,000

Step by Step Solution

1. Step 1: Write the proportion equation
   34,830 : 54,000 = 54,000 : x
2. Step 2: Convert to fraction form
   34,830/54,000 = 54,000/x
3. Step 3: Cross multiply
   34,830x = 54,000 × 54,000
4. Step 4: Simplify right side
   34,830x = 2,916,000,000
5. Step 5: Solve for x
   x = 2,916,000,000/34,830
6. Step 6: Final answer
   x = 83,720.93