Finding the Third Proportional to 4,253 and 5,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,253 : 5,677.50 = 5,677.50 : x
2. Step 2: Convert to fraction form
   4,253/5,677.50 = 5,677.50/x
3. Step 3: Cross multiply
   4,253x = 5,677.50 × 5,677.50
4. Step 4: Simplify right side
   4,253x = 32,234,006.25
5. Step 5: Solve for x
   x = 32,234,006.25/4,253
6. Step 6: Final answer
   x = 7,579.12