Finding the Third Proportional to 17,658 and 37,779

Step by Step Solution

1. Step 1: Write the proportion equation
   17,658 : 37,779 = 37,779 : x
2. Step 2: Convert to fraction form
   17,658/37,779 = 37,779/x
3. Step 3: Cross multiply
   17,658x = 37,779 × 37,779
4. Step 4: Simplify right side
   17,658x = 1,427,252,841
5. Step 5: Solve for x
   x = 1,427,252,841/17,658
6. Step 6: Final answer
   x = 80,827.55