Finding the Third Proportional to 2,181.94 and 4,712.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,181.94 : 4,712.63 = 4,712.63 : x
2. Step 2: Convert to fraction form
   2,181.94/4,712.63 = 4,712.63/x
3. Step 3: Cross multiply
   2,181.94x = 4,712.63 × 4,712.63
4. Step 4: Simplify right side
   2,181.94x = 22,208,834.39
5. Step 5: Solve for x
   x = 22,208,834.39/2,181.94
6. Step 6: Final answer
   x = 10,178.49