Finding the Third Proportional to 2,066.63 and 2,946

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066.63 : 2,946 = 2,946 : x
2. Step 2: Convert to fraction form
   2,066.63/2,946 = 2,946/x
3. Step 3: Cross multiply
   2,066.63x = 2,946 × 2,946
4. Step 4: Simplify right side
   2,066.63x = 8,678,916
5. Step 5: Solve for x
   x = 8,678,916/2,066.63
6. Step 6: Final answer
   x = 4,199.56