Finding the Third Proportional to 16,202.50 and 21,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,202.50 : 21,774.50 = 21,774.50 : x
2. Step 2: Convert to fraction form
   16,202.50/21,774.50 = 21,774.50/x
3. Step 3: Cross multiply
   16,202.50x = 21,774.50 × 21,774.50
4. Step 4: Simplify right side
   16,202.50x = 474,128,850.25
5. Step 5: Solve for x
   x = 474,128,850.25/16,202.50
6. Step 6: Final answer
   x = 29,262.70