Finding the Third Proportional to 37,002 and 79,844

Step by Step Solution

1. Step 1: Write the proportion equation
   37,002 : 79,844 = 79,844 : x
2. Step 2: Convert to fraction form
   37,002/79,844 = 79,844/x
3. Step 3: Cross multiply
   37,002x = 79,844 × 79,844
4. Step 4: Simplify right side
   37,002x = 6,375,064,336
5. Step 5: Solve for x
   x = 6,375,064,336/37,002
6. Step 6: Final answer
   x = 172,289.72