Finding the Third Proportional to 21,632 and 27,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,632 : 27,641.50 = 27,641.50 : x
2. Step 2: Convert to fraction form
   21,632/27,641.50 = 27,641.50/x
3. Step 3: Cross multiply
   21,632x = 27,641.50 × 27,641.50
4. Step 4: Simplify right side
   21,632x = 764,052,522.25
5. Step 5: Solve for x
   x = 764,052,522.25/21,632
6. Step 6: Final answer
   x = 35,320.48