Finding the Third Proportional to 34,800 and 54,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,800 : 54,016.50 = 54,016.50 : x
2. Step 2: Convert to fraction form
   34,800/54,016.50 = 54,016.50/x
3. Step 3: Cross multiply
   34,800x = 54,016.50 × 54,016.50
4. Step 4: Simplify right side
   34,800x = 2,917,782,272.25
5. Step 5: Solve for x
   x = 2,917,782,272.25/34,800
6. Step 6: Final answer
   x = 83,844.32