Finding the Third Proportional to 1,949.63 and 4,602.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,949.63 : 4,602.38 = 4,602.38 : x
2. Step 2: Convert to fraction form
   1,949.63/4,602.38 = 4,602.38/x
3. Step 3: Cross multiply
   1,949.63x = 4,602.38 × 4,602.38
4. Step 4: Simplify right side
   1,949.63x = 21,181,855.64
5. Step 5: Solve for x
   x = 21,181,855.64/1,949.63
6. Step 6: Final answer
   x = 10,864.58