Finding the Third Proportional to 16,074 and 24,886.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,074 : 24,886.50 = 24,886.50 : x
2. Step 2: Convert to fraction form
   16,074/24,886.50 = 24,886.50/x
3. Step 3: Cross multiply
   16,074x = 24,886.50 × 24,886.50
4. Step 4: Simplify right side
   16,074x = 619,337,882.25
5. Step 5: Solve for x
   x = 619,337,882.25/16,074
6. Step 6: Final answer
   x = 38,530.41