Finding the Third Proportional to 7,865 and 17,141

Step by Step Solution

1. Step 1: Write the proportion equation
   7,865 : 17,141 = 17,141 : x
2. Step 2: Convert to fraction form
   7,865/17,141 = 17,141/x
3. Step 3: Cross multiply
   7,865x = 17,141 × 17,141
4. Step 4: Simplify right side
   7,865x = 293,813,881
5. Step 5: Solve for x
   x = 293,813,881/7,865
6. Step 6: Final answer
   x = 37,357.14