Finding the Third Proportional to 6,054 and 7,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,054 : 7,978.50 = 7,978.50 : x
2. Step 2: Convert to fraction form
   6,054/7,978.50 = 7,978.50/x
3. Step 3: Cross multiply
   6,054x = 7,978.50 × 7,978.50
4. Step 4: Simplify right side
   6,054x = 63,656,462.25
5. Step 5: Solve for x
   x = 63,656,462.25/6,054
6. Step 6: Final answer
   x = 10,514.78