Finding the Third Proportional to 9,632 and 13,784

Step by Step Solution

1. Step 1: Write the proportion equation
   9,632 : 13,784 = 13,784 : x
2. Step 2: Convert to fraction form
   9,632/13,784 = 13,784/x
3. Step 3: Cross multiply
   9,632x = 13,784 × 13,784
4. Step 4: Simplify right side
   9,632x = 189,998,656
5. Step 5: Solve for x
   x = 189,998,656/9,632
6. Step 6: Final answer
   x = 19,725.77