Finding the Third Proportional to 17,677 and 38,510

Step by Step Solution

1. Step 1: Write the proportion equation
   17,677 : 38,510 = 38,510 : x
2. Step 2: Convert to fraction form
   17,677/38,510 = 38,510/x
3. Step 3: Cross multiply
   17,677x = 38,510 × 38,510
4. Step 4: Simplify right side
   17,677x = 1,483,020,100
5. Step 5: Solve for x
   x = 1,483,020,100/17,677
6. Step 6: Final answer
   x = 83,895.46