Finding the Third Proportional to 17,578 and 37,844

Step by Step Solution

1. Step 1: Write the proportion equation
   17,578 : 37,844 = 37,844 : x
2. Step 2: Convert to fraction form
   17,578/37,844 = 37,844/x
3. Step 3: Cross multiply
   17,578x = 37,844 × 37,844
4. Step 4: Simplify right side
   17,578x = 1,432,168,336
5. Step 5: Solve for x
   x = 1,432,168,336/17,578
6. Step 6: Final answer
   x = 81,475.04