Finding the Third Proportional to 17,722.50 and 27,420

Step by Step Solution

1. Step 1: Write the proportion equation
   17,722.50 : 27,420 = 27,420 : x
2. Step 2: Convert to fraction form
   17,722.50/27,420 = 27,420/x
3. Step 3: Cross multiply
   17,722.50x = 27,420 × 27,420
4. Step 4: Simplify right side
   17,722.50x = 751,856,400
5. Step 5: Solve for x
   x = 751,856,400/17,722.50
6. Step 6: Final answer
   x = 42,423.83