Finding the Third Proportional to 10,077.50 and 14,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.50 : 14,328.50 = 14,328.50 : x
2. Step 2: Convert to fraction form
   10,077.50/14,328.50 = 14,328.50/x
3. Step 3: Cross multiply
   10,077.50x = 14,328.50 × 14,328.50
4. Step 4: Simplify right side
   10,077.50x = 205,305,912.25
5. Step 5: Solve for x
   x = 205,305,912.25/10,077.50
6. Step 6: Final answer
   x = 20,372.70