Finding the Third Proportional to 1,748.81 and 4,010.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,748.81 : 4,010.63 = 4,010.63 : x
2. Step 2: Convert to fraction form
   1,748.81/4,010.63 = 4,010.63/x
3. Step 3: Cross multiply
   1,748.81x = 4,010.63 × 4,010.63
4. Step 4: Simplify right side
   1,748.81x = 16,085,112.89
5. Step 5: Solve for x
   x = 16,085,112.89/1,748.81
6. Step 6: Final answer
   x = 9,197.73