Finding the Third Proportional to 11,355 and 17,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,355 : 17,632.50 = 17,632.50 : x
2. Step 2: Convert to fraction form
   11,355/17,632.50 = 17,632.50/x
3. Step 3: Cross multiply
   11,355x = 17,632.50 × 17,632.50
4. Step 4: Simplify right side
   11,355x = 310,905,056.25
5. Step 5: Solve for x
   x = 310,905,056.25/11,355
6. Step 6: Final answer
   x = 27,380.45