Finding the Third Proportional to 23,784 and 34,278

Step by Step Solution

1. Step 1: Write the proportion equation
   23,784 : 34,278 = 34,278 : x
2. Step 2: Convert to fraction form
   23,784/34,278 = 34,278/x
3. Step 3: Cross multiply
   23,784x = 34,278 × 34,278
4. Step 4: Simplify right side
   23,784x = 1,174,981,284
5. Step 5: Solve for x
   x = 1,174,981,284/23,784
6. Step 6: Final answer
   x = 49,402.17