Finding the Third Proportional to 5,388.47 and 7,877.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,388.47 : 7,877.53 = 7,877.53 : x
2. Step 2: Convert to fraction form
   5,388.47/7,877.53 = 7,877.53/x
3. Step 3: Cross multiply
   5,388.47x = 7,877.53 × 7,877.53
4. Step 4: Simplify right side
   5,388.47x = 62,055,498.59
5. Step 5: Solve for x
   x = 62,055,498.59/5,388.47
6. Step 6: Final answer
   x = 11,516.35