Finding the Third Proportional to 1,271.81 and 1,898.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271.81 : 1,898.16 = 1,898.16 : x
2. Step 2: Convert to fraction form
   1,271.81/1,898.16 = 1,898.16/x
3. Step 3: Cross multiply
   1,271.81x = 1,898.16 × 1,898.16
4. Step 4: Simplify right side
   1,271.81x = 3,602,997.15
5. Step 5: Solve for x
   x = 3,602,997.15/1,271.81
6. Step 6: Final answer
   x = 2,832.96