Finding the Third Proportional to 6,478.42 and 15,616.55

Step by Step Solution

1. Step 1: Write the proportion equation
   6,478.42 : 15,616.55 = 15,616.55 : x
2. Step 2: Convert to fraction form
   6,478.42/15,616.55 = 15,616.55/x
3. Step 3: Cross multiply
   6,478.42x = 15,616.55 × 15,616.55
4. Step 4: Simplify right side
   6,478.42x = 243,876,536.30
5. Step 5: Solve for x
   x = 243,876,536.30/6,478.42
6. Step 6: Final answer
   x = 37,644.46