Finding the Third Proportional to 1,969.31 and 3,047.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,969.31 : 3,047.63 = 3,047.63 : x
2. Step 2: Convert to fraction form
   1,969.31/3,047.63 = 3,047.63/x
3. Step 3: Cross multiply
   1,969.31x = 3,047.63 × 3,047.63
4. Step 4: Simplify right side
   1,969.31x = 9,288,018.14
5. Step 5: Solve for x
   x = 9,288,018.14/1,969.31
6. Step 6: Final answer
   x = 4,716.38