Finding the Third Proportional to 3,485.81 and 4,875.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,485.81 : 4,875.61 = 4,875.61 : x
2. Step 2: Convert to fraction form
   3,485.81/4,875.61 = 4,875.61/x
3. Step 3: Cross multiply
   3,485.81x = 4,875.61 × 4,875.61
4. Step 4: Simplify right side
   3,485.81x = 23,771,566.78
5. Step 5: Solve for x
   x = 23,771,566.78/3,485.81
6. Step 6: Final answer
   x = 6,819.52