Finding the Third Proportional to 17,678.25 and 27,722.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,678.25 : 27,722.25 = 27,722.25 : x
2. Step 2: Convert to fraction form
   17,678.25/27,722.25 = 27,722.25/x
3. Step 3: Cross multiply
   17,678.25x = 27,722.25 × 27,722.25
4. Step 4: Simplify right side
   17,678.25x = 768,523,145.06
5. Step 5: Solve for x
   x = 768,523,145.06/17,678.25
6. Step 6: Final answer
   x = 43,472.81