Finding the Third Proportional to 26,738 and 58,094

Step by Step Solution

1. Step 1: Write the proportion equation
   26,738 : 58,094 = 58,094 : x
2. Step 2: Convert to fraction form
   26,738/58,094 = 58,094/x
3. Step 3: Cross multiply
   26,738x = 58,094 × 58,094
4. Step 4: Simplify right side
   26,738x = 3,374,912,836
5. Step 5: Solve for x
   x = 3,374,912,836/26,738
6. Step 6: Final answer
   x = 126,221.59