Finding the Third Proportional to 23,770 and 34,259

Step by Step Solution

1. Step 1: Write the proportion equation
   23,770 : 34,259 = 34,259 : x
2. Step 2: Convert to fraction form
   23,770/34,259 = 34,259/x
3. Step 3: Cross multiply
   23,770x = 34,259 × 34,259
4. Step 4: Simplify right side
   23,770x = 1,173,679,081
5. Step 5: Solve for x
   x = 1,173,679,081/23,770
6. Step 6: Final answer
   x = 49,376.49