Finding the Third Proportional to 1,885.78 and 4,128.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,885.78 : 4,128.47 = 4,128.47 : x
2. Step 2: Convert to fraction form
   1,885.78/4,128.47 = 4,128.47/x
3. Step 3: Cross multiply
   1,885.78x = 4,128.47 × 4,128.47
4. Step 4: Simplify right side
   1,885.78x = 17,044,254.22
5. Step 5: Solve for x
   x = 17,044,254.22/1,885.78
6. Step 6: Final answer
   x = 9,038.30