Finding the Third Proportional to 3,978 and 5,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,978 : 5,587.50 = 5,587.50 : x
2. Step 2: Convert to fraction form
   3,978/5,587.50 = 5,587.50/x
3. Step 3: Cross multiply
   3,978x = 5,587.50 × 5,587.50
4. Step 4: Simplify right side
   3,978x = 31,220,156.25
5. Step 5: Solve for x
   x = 31,220,156.25/3,978
6. Step 6: Final answer
   x = 7,848.20