Finding the Third Proportional to 11,085 and 24,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,085 : 24,109.50 = 24,109.50 : x
2. Step 2: Convert to fraction form
   11,085/24,109.50 = 24,109.50/x
3. Step 3: Cross multiply
   11,085x = 24,109.50 × 24,109.50
4. Step 4: Simplify right side
   11,085x = 581,267,990.25
5. Step 5: Solve for x
   x = 581,267,990.25/11,085
6. Step 6: Final answer
   x = 52,437.35