Finding the Third Proportional to 11,696 and 24,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,696 : 24,852.50 = 24,852.50 : x
2. Step 2: Convert to fraction form
   11,696/24,852.50 = 24,852.50/x
3. Step 3: Cross multiply
   11,696x = 24,852.50 × 24,852.50
4. Step 4: Simplify right side
   11,696x = 617,646,756.25
5. Step 5: Solve for x
   x = 617,646,756.25/11,696
6. Step 6: Final answer
   x = 52,808.38