Finding the Third Proportional to 7,775.25 and 18,111.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,775.25 : 18,111.75 = 18,111.75 : x
2. Step 2: Convert to fraction form
   7,775.25/18,111.75 = 18,111.75/x
3. Step 3: Cross multiply
   7,775.25x = 18,111.75 × 18,111.75
4. Step 4: Simplify right side
   7,775.25x = 328,035,488.06
5. Step 5: Solve for x
   x = 328,035,488.06/7,775.25
6. Step 6: Final answer
   x = 42,189.70