Finding the Third Proportional to 1,686.94 and 3,461.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.94 : 3,461.06 = 3,461.06 : x
2. Step 2: Convert to fraction form
   1,686.94/3,461.06 = 3,461.06/x
3. Step 3: Cross multiply
   1,686.94x = 3,461.06 × 3,461.06
4. Step 4: Simplify right side
   1,686.94x = 11,978,953.63
5. Step 5: Solve for x
   x = 11,978,953.63/1,686.94
6. Step 6: Final answer
   x = 7,101.01