Finding the Third Proportional to 26,007 and 37,164

Step by Step Solution

1. Step 1: Write the proportion equation
   26,007 : 37,164 = 37,164 : x
2. Step 2: Convert to fraction form
   26,007/37,164 = 37,164/x
3. Step 3: Cross multiply
   26,007x = 37,164 × 37,164
4. Step 4: Simplify right side
   26,007x = 1,381,162,896
5. Step 5: Solve for x
   x = 1,381,162,896/26,007
6. Step 6: Final answer
   x = 53,107.35