Finding the Third Proportional to 26,088 and 37,384

Step by Step Solution

1. Step 1: Write the proportion equation
   26,088 : 37,384 = 37,384 : x
2. Step 2: Convert to fraction form
   26,088/37,384 = 37,384/x
3. Step 3: Cross multiply
   26,088x = 37,384 × 37,384
4. Step 4: Simplify right side
   26,088x = 1,397,563,456
5. Step 5: Solve for x
   x = 1,397,563,456/26,088
6. Step 6: Final answer
   x = 53,571.12