Finding the Third Proportional to 3,802.50 and 8,883.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,802.50 : 8,883.75 = 8,883.75 : x
2. Step 2: Convert to fraction form
   3,802.50/8,883.75 = 8,883.75/x
3. Step 3: Cross multiply
   3,802.50x = 8,883.75 × 8,883.75
4. Step 4: Simplify right side
   3,802.50x = 78,921,014.06
5. Step 5: Solve for x
   x = 78,921,014.06/3,802.50
6. Step 6: Final answer
   x = 20,755.03