Finding the Third Proportional to 10,853.25 and 23,657.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,853.25 : 23,657.25 = 23,657.25 : x
2. Step 2: Convert to fraction form
   10,853.25/23,657.25 = 23,657.25/x
3. Step 3: Cross multiply
   10,853.25x = 23,657.25 × 23,657.25
4. Step 4: Simplify right side
   10,853.25x = 559,665,477.56
5. Step 5: Solve for x
   x = 559,665,477.56/10,853.25
6. Step 6: Final answer
   x = 51,566.63