Finding the Third Proportional to 21,600 and 46,196

Step by Step Solution

1. Step 1: Write the proportion equation
   21,600 : 46,196 = 46,196 : x
2. Step 2: Convert to fraction form
   21,600/46,196 = 46,196/x
3. Step 3: Cross multiply
   21,600x = 46,196 × 46,196
4. Step 4: Simplify right side
   21,600x = 2,134,070,416
5. Step 5: Solve for x
   x = 2,134,070,416/21,600
6. Step 6: Final answer
   x = 98,799.56