Finding the Third Proportional to 1,492.31 and 3,189.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,492.31 : 3,189.94 = 3,189.94 : x
2. Step 2: Convert to fraction form
   1,492.31/3,189.94 = 3,189.94/x
3. Step 3: Cross multiply
   1,492.31x = 3,189.94 × 3,189.94
4. Step 4: Simplify right side
   1,492.31x = 10,175,701.25
5. Step 5: Solve for x
   x = 10,175,701.25/1,492.31
6. Step 6: Final answer
   x = 6,818.75