Finding the Third Proportional to 25,160 and 52,768

Step by Step Solution

1. Step 1: Write the proportion equation
   25,160 : 52,768 = 52,768 : x
2. Step 2: Convert to fraction form
   25,160/52,768 = 52,768/x
3. Step 3: Cross multiply
   25,160x = 52,768 × 52,768
4. Step 4: Simplify right side
   25,160x = 2,784,461,824
5. Step 5: Solve for x
   x = 2,784,461,824/25,160
6. Step 6: Final answer
   x = 110,670.18