Finding the Third Proportional to 26,588.25 and 37,452.38

Step by Step Solution

1. Step 1: Write the proportion equation
   26,588.25 : 37,452.38 = 37,452.38 : x
2. Step 2: Convert to fraction form
   26,588.25/37,452.38 = 37,452.38/x
3. Step 3: Cross multiply
   26,588.25x = 37,452.38 × 37,452.38
4. Step 4: Simplify right side
   26,588.25x = 1,402,680,393.14
5. Step 5: Solve for x
   x = 1,402,680,393.14/26,588.25
6. Step 6: Final answer
   x = 52,755.65