Finding the Third Proportional to 12,116.25 and 26,178.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,116.25 : 26,178.38 = 26,178.38 : x
2. Step 2: Convert to fraction form
   12,116.25/26,178.38 = 26,178.38/x
3. Step 3: Cross multiply
   12,116.25x = 26,178.38 × 26,178.38
4. Step 4: Simplify right side
   12,116.25x = 685,307,317.64
5. Step 5: Solve for x
   x = 685,307,317.64/12,116.25
6. Step 6: Final answer
   x = 56,561.01