Finding the Third Proportional to 1,699.31 and 3,477.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,699.31 : 3,477.09 = 3,477.09 : x
2. Step 2: Convert to fraction form
   1,699.31/3,477.09 = 3,477.09/x
3. Step 3: Cross multiply
   1,699.31x = 3,477.09 × 3,477.09
4. Step 4: Simplify right side
   1,699.31x = 12,090,180.95
5. Step 5: Solve for x
   x = 12,090,180.95/1,699.31
6. Step 6: Final answer
   x = 7,114.75