Finding the Third Proportional to 17,778.75 and 23,855.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,778.75 : 23,855.63 = 23,855.63 : x
2. Step 2: Convert to fraction form
   17,778.75/23,855.63 = 23,855.63/x
3. Step 3: Cross multiply
   17,778.75x = 23,855.63 × 23,855.63
4. Step 4: Simplify right side
   17,778.75x = 569,090,844.14
5. Step 5: Solve for x
   x = 569,090,844.14/17,778.75
6. Step 6: Final answer
   x = 32,009.61