Finding the Third Proportional to 3,748.50 and 5,398.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,748.50 : 5,398.88 = 5,398.88 : x
2. Step 2: Convert to fraction form
   3,748.50/5,398.88 = 5,398.88/x
3. Step 3: Cross multiply
   3,748.50x = 5,398.88 × 5,398.88
4. Step 4: Simplify right side
   3,748.50x = 29,147,851.27
5. Step 5: Solve for x
   x = 29,147,851.27/3,748.50
6. Step 6: Final answer
   x = 7,775.87