Finding the Third Proportional to 10,077.75 and 18,029.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.75 : 18,029.25 = 18,029.25 : x
2. Step 2: Convert to fraction form
   10,077.75/18,029.25 = 18,029.25/x
3. Step 3: Cross multiply
   10,077.75x = 18,029.25 × 18,029.25
4. Step 4: Simplify right side
   10,077.75x = 325,053,855.56
5. Step 5: Solve for x
   x = 325,053,855.56/10,077.75
6. Step 6: Final answer
   x = 32,254.61