Finding the Third Proportional to 4,666 and 10,254

Step by Step Solution

1. Step 1: Write the proportion equation
   4,666 : 10,254 = 10,254 : x
2. Step 2: Convert to fraction form
   4,666/10,254 = 10,254/x
3. Step 3: Cross multiply
   4,666x = 10,254 × 10,254
4. Step 4: Simplify right side
   4,666x = 105,144,516
5. Step 5: Solve for x
   x = 105,144,516/4,666
6. Step 6: Final answer
   x = 22,534.19