Finding the Third Proportional to 7,077.38 and 14,462.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,077.38 : 14,462.25 = 14,462.25 : x
2. Step 2: Convert to fraction form
   7,077.38/14,462.25 = 14,462.25/x
3. Step 3: Cross multiply
   7,077.38x = 14,462.25 × 14,462.25
4. Step 4: Simplify right side
   7,077.38x = 209,156,675.06
5. Step 5: Solve for x
   x = 209,156,675.06/7,077.38
6. Step 6: Final answer
   x = 29,552.86