Finding the Third Proportional to 9,614 and 23,269

Step by Step Solution

1. Step 1: Write the proportion equation
   9,614 : 23,269 = 23,269 : x
2. Step 2: Convert to fraction form
   9,614/23,269 = 23,269/x
3. Step 3: Cross multiply
   9,614x = 23,269 × 23,269
4. Step 4: Simplify right side
   9,614x = 541,446,361
5. Step 5: Solve for x
   x = 541,446,361/9,614
6. Step 6: Final answer
   x = 56,318.53