Finding the Third Proportional to 5,216.91 and 7,312.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,216.91 : 7,312.78 = 7,312.78 : x
2. Step 2: Convert to fraction form
   5,216.91/7,312.78 = 7,312.78/x
3. Step 3: Cross multiply
   5,216.91x = 7,312.78 × 7,312.78
4. Step 4: Simplify right side
   5,216.91x = 53,476,769.61
5. Step 5: Solve for x
   x = 53,476,769.61/5,216.91
6. Step 6: Final answer
   x = 10,250.67