Finding the Third Proportional to 34,398 and 52,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,398 : 52,582.50 = 52,582.50 : x
2. Step 2: Convert to fraction form
   34,398/52,582.50 = 52,582.50/x
3. Step 3: Cross multiply
   34,398x = 52,582.50 × 52,582.50
4. Step 4: Simplify right side
   34,398x = 2,764,919,306.25
5. Step 5: Solve for x
   x = 2,764,919,306.25/34,398
6. Step 6: Final answer
   x = 80,380.23