Finding the Third Proportional to 17,720 and 27,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,720 : 27,417.50 = 27,417.50 : x
2. Step 2: Convert to fraction form
   17,720/27,417.50 = 27,417.50/x
3. Step 3: Cross multiply
   17,720x = 27,417.50 × 27,417.50
4. Step 4: Simplify right side
   17,720x = 751,719,306.25
5. Step 5: Solve for x
   x = 751,719,306.25/17,720
6. Step 6: Final answer
   x = 42,422.08