Finding the Third Proportional to 1,781.16 and 4,123.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,781.16 : 4,123.69 = 4,123.69 : x
2. Step 2: Convert to fraction form
   1,781.16/4,123.69 = 4,123.69/x
3. Step 3: Cross multiply
   1,781.16x = 4,123.69 × 4,123.69
4. Step 4: Simplify right side
   1,781.16x = 17,004,798.60
5. Step 5: Solve for x
   x = 17,004,798.60/1,781.16
6. Step 6: Final answer
   x = 9,547.06