Finding the Third Proportional to 23,776 and 34,269

Step by Step Solution

1. Step 1: Write the proportion equation
   23,776 : 34,269 = 34,269 : x
2. Step 2: Convert to fraction form
   23,776/34,269 = 34,269/x
3. Step 3: Cross multiply
   23,776x = 34,269 × 34,269
4. Step 4: Simplify right side
   23,776x = 1,174,364,361
5. Step 5: Solve for x
   x = 1,174,364,361/23,776
6. Step 6: Final answer
   x = 49,392.85