Finding the Third Proportional to 1,801.31 and 3,476.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,801.31 : 3,476.06 = 3,476.06 : x
2. Step 2: Convert to fraction form
   1,801.31/3,476.06 = 3,476.06/x
3. Step 3: Cross multiply
   1,801.31x = 3,476.06 × 3,476.06
4. Step 4: Simplify right side
   1,801.31x = 12,083,010.50
5. Step 5: Solve for x
   x = 12,083,010.50/1,801.31
6. Step 6: Final answer
   x = 6,707.89