Finding the Third Proportional to 23,824 and 52,094

Step by Step Solution

1. Step 1: Write the proportion equation
   23,824 : 52,094 = 52,094 : x
2. Step 2: Convert to fraction form
   23,824/52,094 = 52,094/x
3. Step 3: Cross multiply
   23,824x = 52,094 × 52,094
4. Step 4: Simplify right side
   23,824x = 2,713,784,836
5. Step 5: Solve for x
   x = 2,713,784,836/23,824
6. Step 6: Final answer
   x = 113,909.71