Finding the Third Proportional to 17,646 and 37,851

Step by Step Solution

1. Step 1: Write the proportion equation
   17,646 : 37,851 = 37,851 : x
2. Step 2: Convert to fraction form
   17,646/37,851 = 37,851/x
3. Step 3: Cross multiply
   17,646x = 37,851 × 37,851
4. Step 4: Simplify right side
   17,646x = 1,432,698,201
5. Step 5: Solve for x
   x = 1,432,698,201/17,646
6. Step 6: Final answer
   x = 81,191.10