Finding the Third Proportional to 5,140.02 and 7,748.00

Step by Step Solution

1. Step 1: Write the proportion equation
   5,140.02 : 7,748.00 = 7,748.00 : x
2. Step 2: Convert to fraction form
   5,140.02/7,748.00 = 7,748.00/x
3. Step 3: Cross multiply
   5,140.02x = 7,748.00 × 7,748.00
4. Step 4: Simplify right side
   5,140.02x = 60,031,473.73
5. Step 5: Solve for x
   x = 60,031,473.73/5,140.02
6. Step 6: Final answer
   x = 11,679.23