Finding the Third Proportional to 19,822.50 and 27,182.25

Step by Step Solution

1. Step 1: Write the proportion equation
   19,822.50 : 27,182.25 = 27,182.25 : x
2. Step 2: Convert to fraction form
   19,822.50/27,182.25 = 27,182.25/x
3. Step 3: Cross multiply
   19,822.50x = 27,182.25 × 27,182.25
4. Step 4: Simplify right side
   19,822.50x = 738,874,715.06
5. Step 5: Solve for x
   x = 738,874,715.06/19,822.50
6. Step 6: Final answer
   x = 37,274.55