Finding the Third Proportional to 25,724 and 52,164

Step by Step Solution

1. Step 1: Write the proportion equation
   25,724 : 52,164 = 52,164 : x
2. Step 2: Convert to fraction form
   25,724/52,164 = 52,164/x
3. Step 3: Cross multiply
   25,724x = 52,164 × 52,164
4. Step 4: Simplify right side
   25,724x = 2,721,082,896
5. Step 5: Solve for x
   x = 2,721,082,896/25,724
6. Step 6: Final answer
   x = 105,779.93