Finding the Third Proportional to 40,824 and 46,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,824 : 46,561.50 = 46,561.50 : x
2. Step 2: Convert to fraction form
   40,824/46,561.50 = 46,561.50/x
3. Step 3: Cross multiply
   40,824x = 46,561.50 × 46,561.50
4. Step 4: Simplify right side
   40,824x = 2,167,973,282.25
5. Step 5: Solve for x
   x = 2,167,973,282.25/40,824
6. Step 6: Final answer
   x = 53,105.36