Finding the Third Proportional to 8,892.50 and 20,584.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,892.50 : 20,584.25 = 20,584.25 : x
2. Step 2: Convert to fraction form
   8,892.50/20,584.25 = 20,584.25/x
3. Step 3: Cross multiply
   8,892.50x = 20,584.25 × 20,584.25
4. Step 4: Simplify right side
   8,892.50x = 423,711,348.06
5. Step 5: Solve for x
   x = 423,711,348.06/8,892.50
6. Step 6: Final answer
   x = 47,648.17