Finding the Third Proportional to 23,878 and 52,528

Step by Step Solution

1. Step 1: Write the proportion equation
   23,878 : 52,528 = 52,528 : x
2. Step 2: Convert to fraction form
   23,878/52,528 = 52,528/x
3. Step 3: Cross multiply
   23,878x = 52,528 × 52,528
4. Step 4: Simplify right side
   23,878x = 2,759,190,784
5. Step 5: Solve for x
   x = 2,759,190,784/23,878
6. Step 6: Final answer
   x = 115,553.68