Finding the Third Proportional to 26,002 and 37,157

Step by Step Solution

1. Step 1: Write the proportion equation
   26,002 : 37,157 = 37,157 : x
2. Step 2: Convert to fraction form
   26,002/37,157 = 37,157/x
3. Step 3: Cross multiply
   26,002x = 37,157 × 37,157
4. Step 4: Simplify right side
   26,002x = 1,380,642,649
5. Step 5: Solve for x
   x = 1,380,642,649/26,002
6. Step 6: Final answer
   x = 53,097.56