Finding the Third Proportional to 17,478 and 37,406

Step by Step Solution

1. Step 1: Write the proportion equation
   17,478 : 37,406 = 37,406 : x
2. Step 2: Convert to fraction form
   17,478/37,406 = 37,406/x
3. Step 3: Cross multiply
   17,478x = 37,406 × 37,406
4. Step 4: Simplify right side
   17,478x = 1,399,208,836
5. Step 5: Solve for x
   x = 1,399,208,836/17,478
6. Step 6: Final answer
   x = 80,055.43