Finding the Third Proportional to 10,784 and 13,840

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784 : 13,840 = 13,840 : x
2. Step 2: Convert to fraction form
   10,784/13,840 = 13,840/x
3. Step 3: Cross multiply
   10,784x = 13,840 × 13,840
4. Step 4: Simplify right side
   10,784x = 191,545,600
5. Step 5: Solve for x
   x = 191,545,600/10,784
6. Step 6: Final answer
   x = 17,762.02