Finding the Third Proportional to 7,876 and 17,066

Step by Step Solution

1. Step 1: Write the proportion equation
   7,876 : 17,066 = 17,066 : x
2. Step 2: Convert to fraction form
   7,876/17,066 = 17,066/x
3. Step 3: Cross multiply
   7,876x = 17,066 × 17,066
4. Step 4: Simplify right side
   7,876x = 291,248,356
5. Step 5: Solve for x
   x = 291,248,356/7,876
6. Step 6: Final answer
   x = 36,979.22