Finding the Third Proportional to 17,838 and 27,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,838 : 27,742.50 = 27,742.50 : x
2. Step 2: Convert to fraction form
   17,838/27,742.50 = 27,742.50/x
3. Step 3: Cross multiply
   17,838x = 27,742.50 × 27,742.50
4. Step 4: Simplify right side
   17,838x = 769,646,306.25
5. Step 5: Solve for x
   x = 769,646,306.25/17,838
6. Step 6: Final answer
   x = 43,146.45