Finding the Third Proportional to 13,824 and 32,464.13

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824 : 32,464.13 = 32,464.13 : x
2. Step 2: Convert to fraction form
   13,824/32,464.13 = 32,464.13/x
3. Step 3: Cross multiply
   13,824x = 32,464.13 × 32,464.13
4. Step 4: Simplify right side
   13,824x = 1,053,919,412.02
5. Step 5: Solve for x
   x = 1,053,919,412.02/13,824
6. Step 6: Final answer
   x = 76,238.38