Finding the Third Proportional to 26,476 and 37,109

Step by Step Solution

1. Step 1: Write the proportion equation
   26,476 : 37,109 = 37,109 : x
2. Step 2: Convert to fraction form
   26,476/37,109 = 37,109/x
3. Step 3: Cross multiply
   26,476x = 37,109 × 37,109
4. Step 4: Simplify right side
   26,476x = 1,377,077,881
5. Step 5: Solve for x
   x = 1,377,077,881/26,476
6. Step 6: Final answer
   x = 52,012.31