Finding the Third Proportional to 1,010.63 and 2,165.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010.63 : 2,165.25 = 2,165.25 : x
2. Step 2: Convert to fraction form
   1,010.63/2,165.25 = 2,165.25/x
3. Step 3: Cross multiply
   1,010.63x = 2,165.25 × 2,165.25
4. Step 4: Simplify right side
   1,010.63x = 4,688,307.56
5. Step 5: Solve for x
   x = 4,688,307.56/1,010.63
6. Step 6: Final answer
   x = 4,639.02