Finding the Third Proportional to 2,946.38 and 4,127.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,946.38 : 4,127.63 = 4,127.63 : x
2. Step 2: Convert to fraction form
   2,946.38/4,127.63 = 4,127.63/x
3. Step 3: Cross multiply
   2,946.38x = 4,127.63 × 4,127.63
4. Step 4: Simplify right side
   2,946.38x = 17,037,288.14
5. Step 5: Solve for x
   x = 17,037,288.14/2,946.38
6. Step 6: Final answer
   x = 5,782.46