Finding the Third Proportional to 1,805.63 and 4,696.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,805.63 : 4,696.31 = 4,696.31 : x
2. Step 2: Convert to fraction form
   1,805.63/4,696.31 = 4,696.31/x
3. Step 3: Cross multiply
   1,805.63x = 4,696.31 × 4,696.31
4. Step 4: Simplify right side
   1,805.63x = 22,055,351.10
5. Step 5: Solve for x
   x = 22,055,351.10/1,805.63
6. Step 6: Final answer
   x = 12,214.80