Finding the Third Proportional to 3,184.31 and 4,892.91

Step by Step Solution

1. Step 1: Write the proportion equation
   3,184.31 : 4,892.91 = 4,892.91 : x
2. Step 2: Convert to fraction form
   3,184.31/4,892.91 = 4,892.91/x
3. Step 3: Cross multiply
   3,184.31x = 4,892.91 × 4,892.91
4. Step 4: Simplify right side
   3,184.31x = 23,940,531.57
5. Step 5: Solve for x
   x = 23,940,531.57/3,184.31
6. Step 6: Final answer
   x = 7,518.27