Finding the Third Proportional to 4,874.50 and 7,850

Step by Step Solution

1. Step 1: Write the proportion equation
   4,874.50 : 7,850 = 7,850 : x
2. Step 2: Convert to fraction form
   4,874.50/7,850 = 7,850/x
3. Step 3: Cross multiply
   4,874.50x = 7,850 × 7,850
4. Step 4: Simplify right side
   4,874.50x = 61,622,500
5. Step 5: Solve for x
   x = 61,622,500/4,874.50
6. Step 6: Final answer
   x = 12,641.81