Finding the Third Proportional to 17,586.50 and 40,678

Step by Step Solution

1. Step 1: Write the proportion equation
   17,586.50 : 40,678 = 40,678 : x
2. Step 2: Convert to fraction form
   17,586.50/40,678 = 40,678/x
3. Step 3: Cross multiply
   17,586.50x = 40,678 × 40,678
4. Step 4: Simplify right side
   17,586.50x = 1,654,699,684
5. Step 5: Solve for x
   x = 1,654,699,684/17,586.50
6. Step 6: Final answer
   x = 94,089.20