Finding the Third Proportional to 23,824 and 52,091

Step by Step Solution

1. Step 1: Write the proportion equation
   23,824 : 52,091 = 52,091 : x
2. Step 2: Convert to fraction form
   23,824/52,091 = 52,091/x
3. Step 3: Cross multiply
   23,824x = 52,091 × 52,091
4. Step 4: Simplify right side
   23,824x = 2,713,472,281
5. Step 5: Solve for x
   x = 2,713,472,281/23,824
6. Step 6: Final answer
   x = 113,896.59