Finding the Third Proportional to 3,892.50 and 9,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.50 : 9,211.50 = 9,211.50 : x
2. Step 2: Convert to fraction form
   3,892.50/9,211.50 = 9,211.50/x
3. Step 3: Cross multiply
   3,892.50x = 9,211.50 × 9,211.50
4. Step 4: Simplify right side
   3,892.50x = 84,851,732.25
5. Step 5: Solve for x
   x = 84,851,732.25/3,892.50
6. Step 6: Final answer
   x = 21,798.78