Finding the Third Proportional to 493.88 and 1,010.63

Step by Step Solution

1. Step 1: Write the proportion equation
   493.88 : 1,010.63 = 1,010.63 : x
2. Step 2: Convert to fraction form
   493.88/1,010.63 = 1,010.63/x
3. Step 3: Cross multiply
   493.88x = 1,010.63 × 1,010.63
4. Step 4: Simplify right side
   493.88x = 1,021,362.89
5. Step 5: Solve for x
   x = 1,021,362.89/493.88
6. Step 6: Final answer
   x = 2,068.06