Finding the Third Proportional to 22,196 and 33,748

Step by Step Solution

1. Step 1: Write the proportion equation
   22,196 : 33,748 = 33,748 : x
2. Step 2: Convert to fraction form
   22,196/33,748 = 33,748/x
3. Step 3: Cross multiply
   22,196x = 33,748 × 33,748
4. Step 4: Simplify right side
   22,196x = 1,138,927,504
5. Step 5: Solve for x
   x = 1,138,927,504/22,196
6. Step 6: Final answer
   x = 51,312.29