Finding the Third Proportional to 19,816 and 27,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,816 : 27,172.50 = 27,172.50 : x
2. Step 2: Convert to fraction form
   19,816/27,172.50 = 27,172.50/x
3. Step 3: Cross multiply
   19,816x = 27,172.50 × 27,172.50
4. Step 4: Simplify right side
   19,816x = 738,344,756.25
5. Step 5: Solve for x
   x = 738,344,756.25/19,816
6. Step 6: Final answer
   x = 37,260.03