Finding the Third Proportional to 26,638 and 59,188

Step by Step Solution

1. Step 1: Write the proportion equation
   26,638 : 59,188 = 59,188 : x
2. Step 2: Convert to fraction form
   26,638/59,188 = 59,188/x
3. Step 3: Cross multiply
   26,638x = 59,188 × 59,188
4. Step 4: Simplify right side
   26,638x = 3,503,219,344
5. Step 5: Solve for x
   x = 3,503,219,344/26,638
6. Step 6: Final answer
   x = 131,512.10