Finding the Third Proportional to 7,882.31 and 18,145.27

Step by Step Solution

1. Step 1: Write the proportion equation
   7,882.31 : 18,145.27 = 18,145.27 : x
2. Step 2: Convert to fraction form
   7,882.31/18,145.27 = 18,145.27/x
3. Step 3: Cross multiply
   7,882.31x = 18,145.27 × 18,145.27
4. Step 4: Simplify right side
   7,882.31x = 329,250,664.60
5. Step 5: Solve for x
   x = 329,250,664.60/7,882.31
6. Step 6: Final answer
   x = 41,770.82