Finding the Third Proportional to 23,005 and 34,726

Step by Step Solution

1. Step 1: Write the proportion equation
   23,005 : 34,726 = 34,726 : x
2. Step 2: Convert to fraction form
   23,005/34,726 = 34,726/x
3. Step 3: Cross multiply
   23,005x = 34,726 × 34,726
4. Step 4: Simplify right side
   23,005x = 1,205,895,076
5. Step 5: Solve for x
   x = 1,205,895,076/23,005
6. Step 6: Final answer
   x = 52,418.83