Finding the Third Proportional to 5,677.50 and 10,095

Step by Step Solution

1. Step 1: Write the proportion equation
   5,677.50 : 10,095 = 10,095 : x
2. Step 2: Convert to fraction form
   5,677.50/10,095 = 10,095/x
3. Step 3: Cross multiply
   5,677.50x = 10,095 × 10,095
4. Step 4: Simplify right side
   5,677.50x = 101,909,025
5. Step 5: Solve for x
   x = 101,909,025/5,677.50
6. Step 6: Final answer
   x = 17,949.63