Finding the Third Proportional to 5,184.56 and 7,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,184.56 : 7,978.50 = 7,978.50 : x
2. Step 2: Convert to fraction form
   5,184.56/7,978.50 = 7,978.50/x
3. Step 3: Cross multiply
   5,184.56x = 7,978.50 × 7,978.50
4. Step 4: Simplify right side
   5,184.56x = 63,656,462.25
5. Step 5: Solve for x
   x = 63,656,462.25/5,184.56
6. Step 6: Final answer
   x = 12,278.08