Finding the Third Proportional to 7,810 and 17,077

Step by Step Solution

1. Step 1: Write the proportion equation
   7,810 : 17,077 = 17,077 : x
2. Step 2: Convert to fraction form
   7,810/17,077 = 17,077/x
3. Step 3: Cross multiply
   7,810x = 17,077 × 17,077
4. Step 4: Simplify right side
   7,810x = 291,623,929
5. Step 5: Solve for x
   x = 291,623,929/7,810
6. Step 6: Final answer
   x = 37,339.81