Finding the Third Proportional to 22,196 and 47,656

Step by Step Solution

1. Step 1: Write the proportion equation
   22,196 : 47,656 = 47,656 : x
2. Step 2: Convert to fraction form
   22,196/47,656 = 47,656/x
3. Step 3: Cross multiply
   22,196x = 47,656 × 47,656
4. Step 4: Simplify right side
   22,196x = 2,271,094,336
5. Step 5: Solve for x
   x = 2,271,094,336/22,196
6. Step 6: Final answer
   x = 102,319.98