Finding the Third Proportional to 23,922 and 52,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,922 : 52,378.50 = 52,378.50 : x
2. Step 2: Convert to fraction form
   23,922/52,378.50 = 52,378.50/x
3. Step 3: Cross multiply
   23,922x = 52,378.50 × 52,378.50
4. Step 4: Simplify right side
   23,922x = 2,743,507,262.25
5. Step 5: Solve for x
   x = 2,743,507,262.25/23,922
6. Step 6: Final answer
   x = 114,685.53