Finding the Third Proportional to 10,665 and 21,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665 : 21,847.50 = 21,847.50 : x
2. Step 2: Convert to fraction form
   10,665/21,847.50 = 21,847.50/x
3. Step 3: Cross multiply
   10,665x = 21,847.50 × 21,847.50
4. Step 4: Simplify right side
   10,665x = 477,313,256.25
5. Step 5: Solve for x
   x = 477,313,256.25/10,665
6. Step 6: Final answer
   x = 44,755.11