Finding the Third Proportional to 17,730 and 27,216

Step by Step Solution

1. Step 1: Write the proportion equation
   17,730 : 27,216 = 27,216 : x
2. Step 2: Convert to fraction form
   17,730/27,216 = 27,216/x
3. Step 3: Cross multiply
   17,730x = 27,216 × 27,216
4. Step 4: Simplify right side
   17,730x = 740,710,656
5. Step 5: Solve for x
   x = 740,710,656/17,730
6. Step 6: Final answer
   x = 41,777.25