Finding the Third Proportional to 5,472 and 7,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,472 : 7,705.50 = 7,705.50 : x
2. Step 2: Convert to fraction form
   5,472/7,705.50 = 7,705.50/x
3. Step 3: Cross multiply
   5,472x = 7,705.50 × 7,705.50
4. Step 4: Simplify right side
   5,472x = 59,374,730.25
5. Step 5: Solve for x
   x = 59,374,730.25/5,472
6. Step 6: Final answer
   x = 10,850.65