Finding the Third Proportional to 17,401 and 37,258

Step by Step Solution

1. Step 1: Write the proportion equation
   17,401 : 37,258 = 37,258 : x
2. Step 2: Convert to fraction form
   17,401/37,258 = 37,258/x
3. Step 3: Cross multiply
   17,401x = 37,258 × 37,258
4. Step 4: Simplify right side
   17,401x = 1,388,158,564
5. Step 5: Solve for x
   x = 1,388,158,564/17,401
6. Step 6: Final answer
   x = 79,774.64