Finding the Third Proportional to 21,600 and 45,771.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,600 : 45,771.75 = 45,771.75 : x
2. Step 2: Convert to fraction form
   21,600/45,771.75 = 45,771.75/x
3. Step 3: Cross multiply
   21,600x = 45,771.75 × 45,771.75
4. Step 4: Simplify right side
   21,600x = 2,095,053,098.06
5. Step 5: Solve for x
   x = 2,095,053,098.06/21,600
6. Step 6: Final answer
   x = 96,993.20