Finding the Third Proportional to 19,450 and 27,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,450 : 27,523.50 = 27,523.50 : x
2. Step 2: Convert to fraction form
   19,450/27,523.50 = 27,523.50/x
3. Step 3: Cross multiply
   19,450x = 27,523.50 × 27,523.50
4. Step 4: Simplify right side
   19,450x = 757,543,052.25
5. Step 5: Solve for x
   x = 757,543,052.25/19,450
6. Step 6: Final answer
   x = 38,948.23