Finding the Third Proportional to 9,757.50 and 21,411.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,757.50 : 21,411.75 = 21,411.75 : x
2. Step 2: Convert to fraction form
   9,757.50/21,411.75 = 21,411.75/x
3. Step 3: Cross multiply
   9,757.50x = 21,411.75 × 21,411.75
4. Step 4: Simplify right side
   9,757.50x = 458,463,038.06
5. Step 5: Solve for x
   x = 458,463,038.06/9,757.50
6. Step 6: Final answer
   x = 46,985.71