Finding the Third Proportional to 26,165 and 42,123

Step by Step Solution

1. Step 1: Write the proportion equation
   26,165 : 42,123 = 42,123 : x
2. Step 2: Convert to fraction form
   26,165/42,123 = 42,123/x
3. Step 3: Cross multiply
   26,165x = 42,123 × 42,123
4. Step 4: Simplify right side
   26,165x = 1,774,347,129
5. Step 5: Solve for x
   x = 1,774,347,129/26,165
6. Step 6: Final answer
   x = 67,813.76