Finding the Third Proportional to 3,875.34 and 5,804.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,875.34 : 5,804.16 = 5,804.16 : x
2. Step 2: Convert to fraction form
   3,875.34/5,804.16 = 5,804.16/x
3. Step 3: Cross multiply
   3,875.34x = 5,804.16 × 5,804.16
4. Step 4: Simplify right side
   3,875.34x = 33,688,229.77
5. Step 5: Solve for x
   x = 33,688,229.77/3,875.34
6. Step 6: Final answer
   x = 8,692.97