Finding the Third Proportional to 1,822.50 and 4,055.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.50 : 4,055.06 = 4,055.06 : x
2. Step 2: Convert to fraction form
   1,822.50/4,055.06 = 4,055.06/x
3. Step 3: Cross multiply
   1,822.50x = 4,055.06 × 4,055.06
4. Step 4: Simplify right side
   1,822.50x = 16,443,531.88
5. Step 5: Solve for x
   x = 16,443,531.88/1,822.50
6. Step 6: Final answer
   x = 9,022.51