Finding the Third Proportional to 7,077.38 and 14,853.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,077.38 : 14,853.38 = 14,853.38 : x
2. Step 2: Convert to fraction form
   7,077.38/14,853.38 = 14,853.38/x
3. Step 3: Cross multiply
   7,077.38x = 14,853.38 × 14,853.38
4. Step 4: Simplify right side
   7,077.38x = 220,622,748.89
5. Step 5: Solve for x
   x = 220,622,748.89/7,077.38
6. Step 6: Final answer
   x = 31,172.96