Finding the Third Proportional to 17,586 and 37,460

Step by Step Solution

1. Step 1: Write the proportion equation
   17,586 : 37,460 = 37,460 : x
2. Step 2: Convert to fraction form
   17,586/37,460 = 37,460/x
3. Step 3: Cross multiply
   17,586x = 37,460 × 37,460
4. Step 4: Simplify right side
   17,586x = 1,403,251,600
5. Step 5: Solve for x
   x = 1,403,251,600/17,586
6. Step 6: Final answer
   x = 79,793.68