Finding the Third Proportional to 34,854 and 54,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,854 : 54,043.50 = 54,043.50 : x
2. Step 2: Convert to fraction form
   34,854/54,043.50 = 54,043.50/x
3. Step 3: Cross multiply
   34,854x = 54,043.50 × 54,043.50
4. Step 4: Simplify right side
   34,854x = 2,920,699,892.25
5. Step 5: Solve for x
   x = 2,920,699,892.25/34,854
6. Step 6: Final answer
   x = 83,798.13