Finding the Third Proportional to 6,784 and 10,141

Step by Step Solution

1. Step 1: Write the proportion equation
   6,784 : 10,141 = 10,141 : x
2. Step 2: Convert to fraction form
   6,784/10,141 = 10,141/x
3. Step 3: Cross multiply
   6,784x = 10,141 × 10,141
4. Step 4: Simplify right side
   6,784x = 102,839,881
5. Step 5: Solve for x
   x = 102,839,881/6,784
6. Step 6: Final answer
   x = 15,159.18