Finding the Third Proportional to 26,092 and 37,390

Step by Step Solution

1. Step 1: Write the proportion equation
   26,092 : 37,390 = 37,390 : x
2. Step 2: Convert to fraction form
   26,092/37,390 = 37,390/x
3. Step 3: Cross multiply
   26,092x = 37,390 × 37,390
4. Step 4: Simplify right side
   26,092x = 1,398,012,100
5. Step 5: Solve for x
   x = 1,398,012,100/26,092
6. Step 6: Final answer
   x = 53,580.11