Finding the Third Proportional to 1,213.31 and 1,806.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,213.31 : 1,806.47 = 1,806.47 : x
2. Step 2: Convert to fraction form
   1,213.31/1,806.47 = 1,806.47/x
3. Step 3: Cross multiply
   1,213.31x = 1,806.47 × 1,806.47
4. Step 4: Simplify right side
   1,213.31x = 3,263,329.34
5. Step 5: Solve for x
   x = 3,263,329.34/1,213.31
6. Step 6: Final answer
   x = 2,689.60