Finding the Third Proportional to 3,875.63 and 5,455.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,875.63 : 5,455.69 = 5,455.69 : x
2. Step 2: Convert to fraction form
   3,875.63/5,455.69 = 5,455.69/x
3. Step 3: Cross multiply
   3,875.63x = 5,455.69 × 5,455.69
4. Step 4: Simplify right side
   3,875.63x = 29,764,526.10
5. Step 5: Solve for x
   x = 29,764,526.10/3,875.63
6. Step 6: Final answer
   x = 7,679.93