Finding the Third Proportional to 11,746.50 and 18,200.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,746.50 : 18,200.25 = 18,200.25 : x
2. Step 2: Convert to fraction form
   11,746.50/18,200.25 = 18,200.25/x
3. Step 3: Cross multiply
   11,746.50x = 18,200.25 × 18,200.25
4. Step 4: Simplify right side
   11,746.50x = 331,249,100.06
5. Step 5: Solve for x
   x = 331,249,100.06/11,746.50
6. Step 6: Final answer
   x = 28,199.81