Finding the Third Proportional to 21,744 and 46,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,744 : 46,417.50 = 46,417.50 : x
2. Step 2: Convert to fraction form
   21,744/46,417.50 = 46,417.50/x
3. Step 3: Cross multiply
   21,744x = 46,417.50 × 46,417.50
4. Step 4: Simplify right side
   21,744x = 2,154,584,306.25
5. Step 5: Solve for x
   x = 2,154,584,306.25/21,744
6. Step 6: Final answer
   x = 99,088.68