Finding the Third Proportional to 7,700 and 17,810

Step by Step Solution

1. Step 1: Write the proportion equation
   7,700 : 17,810 = 17,810 : x
2. Step 2: Convert to fraction form
   7,700/17,810 = 17,810/x
3. Step 3: Cross multiply
   7,700x = 17,810 × 17,810
4. Step 4: Simplify right side
   7,700x = 317,196,100
5. Step 5: Solve for x
   x = 317,196,100/7,700
6. Step 6: Final answer
   x = 41,194.30