Finding the Third Proportional to 17,802 and 37,905

Step by Step Solution

1. Step 1: Write the proportion equation
   17,802 : 37,905 = 37,905 : x
2. Step 2: Convert to fraction form
   17,802/37,905 = 37,905/x
3. Step 3: Cross multiply
   17,802x = 37,905 × 37,905
4. Step 4: Simplify right side
   17,802x = 1,436,789,025
5. Step 5: Solve for x
   x = 1,436,789,025/17,802
6. Step 6: Final answer
   x = 80,709.42