Finding the Third Proportional to 10,165.50 and 20,837.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.50 : 20,837.25 = 20,837.25 : x
2. Step 2: Convert to fraction form
   10,165.50/20,837.25 = 20,837.25/x
3. Step 3: Cross multiply
   10,165.50x = 20,837.25 × 20,837.25
4. Step 4: Simplify right side
   10,165.50x = 434,190,987.56
5. Step 5: Solve for x
   x = 434,190,987.56/10,165.50
6. Step 6: Final answer
   x = 42,712.21