Finding the Third Proportional to 17,856 and 37,116

Step by Step Solution

1. Step 1: Write the proportion equation
   17,856 : 37,116 = 37,116 : x
2. Step 2: Convert to fraction form
   17,856/37,116 = 37,116/x
3. Step 3: Cross multiply
   17,856x = 37,116 × 37,116
4. Step 4: Simplify right side
   17,856x = 1,377,597,456
5. Step 5: Solve for x
   x = 1,377,597,456/17,856
6. Step 6: Final answer
   x = 77,150.40