Finding the Third Proportional to 9,768 and 23,046

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768 : 23,046 = 23,046 : x
2. Step 2: Convert to fraction form
   9,768/23,046 = 23,046/x
3. Step 3: Cross multiply
   9,768x = 23,046 × 23,046
4. Step 4: Simplify right side
   9,768x = 531,118,116
5. Step 5: Solve for x
   x = 531,118,116/9,768
6. Step 6: Final answer
   x = 54,373.27