Finding the Third Proportional to 4,892.25 and 7,010.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,892.25 : 7,010.63 = 7,010.63 : x
2. Step 2: Convert to fraction form
   4,892.25/7,010.63 = 7,010.63/x
3. Step 3: Cross multiply
   4,892.25x = 7,010.63 × 7,010.63
4. Step 4: Simplify right side
   4,892.25x = 49,148,862.89
5. Step 5: Solve for x
   x = 49,148,862.89/4,892.25
6. Step 6: Final answer
   x = 10,046.27