Finding the Third Proportional to 1,901.81 and 2,838.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,901.81 : 2,838.56 = 2,838.56 : x
2. Step 2: Convert to fraction form
   1,901.81/2,838.56 = 2,838.56/x
3. Step 3: Cross multiply
   1,901.81x = 2,838.56 × 2,838.56
4. Step 4: Simplify right side
   1,901.81x = 8,057,437.07
5. Step 5: Solve for x
   x = 8,057,437.07/1,901.81
6. Step 6: Final answer
   x = 4,236.71