Finding the Third Proportional to 2,061.47 and 4,194.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,061.47 : 4,194.94 = 4,194.94 : x
2. Step 2: Convert to fraction form
   2,061.47/4,194.94 = 4,194.94/x
3. Step 3: Cross multiply
   2,061.47x = 4,194.94 × 4,194.94
4. Step 4: Simplify right side
   2,061.47x = 17,597,500.63
5. Step 5: Solve for x
   x = 17,597,500.63/2,061.47
6. Step 6: Final answer
   x = 8,536.39