Finding the Third Proportional to 23,643 and 57,771

Step by Step Solution

1. Step 1: Write the proportion equation
   23,643 : 57,771 = 57,771 : x
2. Step 2: Convert to fraction form
   23,643/57,771 = 57,771/x
3. Step 3: Cross multiply
   23,643x = 57,771 × 57,771
4. Step 4: Simplify right side
   23,643x = 3,337,488,441
5. Step 5: Solve for x
   x = 3,337,488,441/23,643
6. Step 6: Final answer
   x = 141,161.80