Finding the Third Proportional to 10,087.50 and 21,564.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,087.50 : 21,564.75 = 21,564.75 : x
2. Step 2: Convert to fraction form
   10,087.50/21,564.75 = 21,564.75/x
3. Step 3: Cross multiply
   10,087.50x = 21,564.75 × 21,564.75
4. Step 4: Simplify right side
   10,087.50x = 465,038,442.56
5. Step 5: Solve for x
   x = 465,038,442.56/10,087.50
6. Step 6: Final answer
   x = 46,100.47