Finding the Third Proportional to 13,185.50 and 21,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,185.50 : 21,422.50 = 21,422.50 : x
2. Step 2: Convert to fraction form
   13,185.50/21,422.50 = 21,422.50/x
3. Step 3: Cross multiply
   13,185.50x = 21,422.50 × 21,422.50
4. Step 4: Simplify right side
   13,185.50x = 458,923,506.25
5. Step 5: Solve for x
   x = 458,923,506.25/13,185.50
6. Step 6: Final answer
   x = 34,805.17