Finding the Third Proportional to 7,666 and 17,258

Step by Step Solution

1. Step 1: Write the proportion equation
   7,666 : 17,258 = 17,258 : x
2. Step 2: Convert to fraction form
   7,666/17,258 = 17,258/x
3. Step 3: Cross multiply
   7,666x = 17,258 × 17,258
4. Step 4: Simplify right side
   7,666x = 297,838,564
5. Step 5: Solve for x
   x = 297,838,564/7,666
6. Step 6: Final answer
   x = 38,851.89