Finding the Third Proportional to 13,784 and 22,196

Step by Step Solution

1. Step 1: Write the proportion equation
   13,784 : 22,196 = 22,196 : x
2. Step 2: Convert to fraction form
   13,784/22,196 = 22,196/x
3. Step 3: Cross multiply
   13,784x = 22,196 × 22,196
4. Step 4: Simplify right side
   13,784x = 492,662,416
5. Step 5: Solve for x
   x = 492,662,416/13,784
6. Step 6: Final answer
   x = 35,741.61