Finding the Third Proportional to 5,152.50 and 11,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152.50 : 11,101.50 = 11,101.50 : x
2. Step 2: Convert to fraction form
   5,152.50/11,101.50 = 11,101.50/x
3. Step 3: Cross multiply
   5,152.50x = 11,101.50 × 11,101.50
4. Step 4: Simplify right side
   5,152.50x = 123,243,302.25
5. Step 5: Solve for x
   x = 123,243,302.25/5,152.50
6. Step 6: Final answer
   x = 23,919.13