Finding the Third Proportional to 17,586 and 35,888

Step by Step Solution

1. Step 1: Write the proportion equation
   17,586 : 35,888 = 35,888 : x
2. Step 2: Convert to fraction form
   17,586/35,888 = 35,888/x
3. Step 3: Cross multiply
   17,586x = 35,888 × 35,888
4. Step 4: Simplify right side
   17,586x = 1,287,948,544
5. Step 5: Solve for x
   x = 1,287,948,544/17,586
6. Step 6: Final answer
   x = 73,237.15