Finding the Third Proportional to 22,196 and 46,896

Step by Step Solution

1. Step 1: Write the proportion equation
   22,196 : 46,896 = 46,896 : x
2. Step 2: Convert to fraction form
   22,196/46,896 = 46,896/x
3. Step 3: Cross multiply
   22,196x = 46,896 × 46,896
4. Step 4: Simplify right side
   22,196x = 2,199,234,816
5. Step 5: Solve for x
   x = 2,199,234,816/22,196
6. Step 6: Final answer
   x = 99,082.48