Finding the Third Proportional to 10,363.50 and 19,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,363.50 : 19,687.50 = 19,687.50 : x
2. Step 2: Convert to fraction form
   10,363.50/19,687.50 = 19,687.50/x
3. Step 3: Cross multiply
   10,363.50x = 19,687.50 × 19,687.50
4. Step 4: Simplify right side
   10,363.50x = 387,597,656.25
5. Step 5: Solve for x
   x = 387,597,656.25/10,363.50
6. Step 6: Final answer
   x = 37,400.27