Finding the Third Proportional to 898.17 and 1,864.69

Step by Step Solution

1. Step 1: Write the proportion equation
   898.17 : 1,864.69 = 1,864.69 : x
2. Step 2: Convert to fraction form
   898.17/1,864.69 = 1,864.69/x
3. Step 3: Cross multiply
   898.17x = 1,864.69 × 1,864.69
4. Step 4: Simplify right side
   898.17x = 3,477,059.47
5. Step 5: Solve for x
   x = 3,477,059.47/898.17
6. Step 6: Final answer
   x = 3,871.26