Finding the Third Proportional to 17,339 and 37,846

Step by Step Solution

1. Step 1: Write the proportion equation
   17,339 : 37,846 = 37,846 : x
2. Step 2: Convert to fraction form
   17,339/37,846 = 37,846/x
3. Step 3: Cross multiply
   17,339x = 37,846 × 37,846
4. Step 4: Simplify right side
   17,339x = 1,432,319,716
5. Step 5: Solve for x
   x = 1,432,319,716/17,339
6. Step 6: Final answer
   x = 82,606.82