Finding the Third Proportional to 1,828.69 and 4,801.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,828.69 : 4,801.22 = 4,801.22 : x
2. Step 2: Convert to fraction form
   1,828.69/4,801.22 = 4,801.22/x
3. Step 3: Cross multiply
   1,828.69x = 4,801.22 × 4,801.22
4. Step 4: Simplify right side
   1,828.69x = 23,051,701.49
5. Step 5: Solve for x
   x = 23,051,701.49/1,828.69
6. Step 6: Final answer
   x = 12,605.60