Finding the Third Proportional to 12,505.50 and 18,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,505.50 : 18,622.50 = 18,622.50 : x
2. Step 2: Convert to fraction form
   12,505.50/18,622.50 = 18,622.50/x
3. Step 3: Cross multiply
   12,505.50x = 18,622.50 × 18,622.50
4. Step 4: Simplify right side
   12,505.50x = 346,797,506.25
5. Step 5: Solve for x
   x = 346,797,506.25/12,505.50
6. Step 6: Final answer
   x = 27,731.60