Finding the Third Proportional to 1,014.19 and 2,165.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.19 : 2,165.06 = 2,165.06 : x
2. Step 2: Convert to fraction form
   1,014.19/2,165.06 = 2,165.06/x
3. Step 3: Cross multiply
   1,014.19x = 2,165.06 × 2,165.06
4. Step 4: Simplify right side
   1,014.19x = 4,687,495.63
5. Step 5: Solve for x
   x = 4,687,495.63/1,014.19
6. Step 6: Final answer
   x = 4,621.92