Finding the Third Proportional to 11,546.25 and 18,595.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,546.25 : 18,595.50 = 18,595.50 : x
2. Step 2: Convert to fraction form
   11,546.25/18,595.50 = 18,595.50/x
3. Step 3: Cross multiply
   11,546.25x = 18,595.50 × 18,595.50
4. Step 4: Simplify right side
   11,546.25x = 345,792,620.25
5. Step 5: Solve for x
   x = 345,792,620.25/11,546.25
6. Step 6: Final answer
   x = 29,948.48