Finding the Third Proportional to 23,822 and 53,282

Step by Step Solution

1. Step 1: Write the proportion equation
   23,822 : 53,282 = 53,282 : x
2. Step 2: Convert to fraction form
   23,822/53,282 = 53,282/x
3. Step 3: Cross multiply
   23,822x = 53,282 × 53,282
4. Step 4: Simplify right side
   23,822x = 2,838,971,524
5. Step 5: Solve for x
   x = 2,838,971,524/23,822
6. Step 6: Final answer
   x = 119,174.36