Finding the Third Proportional to 7,077.38 and 14,743.27

Step by Step Solution

1. Step 1: Write the proportion equation
   7,077.38 : 14,743.27 = 14,743.27 : x
2. Step 2: Convert to fraction form
   7,077.38/14,743.27 = 14,743.27/x
3. Step 3: Cross multiply
   7,077.38x = 14,743.27 × 14,743.27
4. Step 4: Simplify right side
   7,077.38x = 217,363,881.29
5. Step 5: Solve for x
   x = 217,363,881.29/7,077.38
6. Step 6: Final answer
   x = 30,712.50