Finding the Third Proportional to 9,727.50 and 21,337.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,727.50 : 21,337.50 = 21,337.50 : x
2. Step 2: Convert to fraction form
   9,727.50/21,337.50 = 21,337.50/x
3. Step 3: Cross multiply
   9,727.50x = 21,337.50 × 21,337.50
4. Step 4: Simplify right side
   9,727.50x = 455,288,906.25
5. Step 5: Solve for x
   x = 455,288,906.25/9,727.50
6. Step 6: Final answer
   x = 46,804.31