Finding the Third Proportional to 26,501 and 37,144

Step by Step Solution

1. Step 1: Write the proportion equation
   26,501 : 37,144 = 37,144 : x
2. Step 2: Convert to fraction form
   26,501/37,144 = 37,144/x
3. Step 3: Cross multiply
   26,501x = 37,144 × 37,144
4. Step 4: Simplify right side
   26,501x = 1,379,676,736
5. Step 5: Solve for x
   x = 1,379,676,736/26,501
6. Step 6: Final answer
   x = 52,061.31