Finding the Third Proportional to 5,221.97 and 7,878.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,221.97 : 7,878.52 = 7,878.52 : x
2. Step 2: Convert to fraction form
   5,221.97/7,878.52 = 7,878.52/x
3. Step 3: Cross multiply
   5,221.97x = 7,878.52 × 7,878.52
4. Step 4: Simplify right side
   5,221.97x = 62,071,008.45
5. Step 5: Solve for x
   x = 62,071,008.45/5,221.97
6. Step 6: Final answer
   x = 11,886.51