Finding the Third Proportional to 4,848.19 and 7,712.72

Step by Step Solution

1. Step 1: Write the proportion equation
   4,848.19 : 7,712.72 = 7,712.72 : x
2. Step 2: Convert to fraction form
   4,848.19/7,712.72 = 7,712.72/x
3. Step 3: Cross multiply
   4,848.19x = 7,712.72 × 7,712.72
4. Step 4: Simplify right side
   4,848.19x = 59,486,030.52
5. Step 5: Solve for x
   x = 59,486,030.52/4,848.19
6. Step 6: Final answer
   x = 12,269.75