Finding the Third Proportional to 25,725 and 52,166

Step by Step Solution

1. Step 1: Write the proportion equation
   25,725 : 52,166 = 52,166 : x
2. Step 2: Convert to fraction form
   25,725/52,166 = 52,166/x
3. Step 3: Cross multiply
   25,725x = 52,166 × 52,166
4. Step 4: Simplify right side
   25,725x = 2,721,291,556
5. Step 5: Solve for x
   x = 2,721,291,556/25,725
6. Step 6: Final answer
   x = 105,783.93