Finding the Third Proportional to 2,966.81 and 4,612.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,966.81 : 4,612.22 = 4,612.22 : x
2. Step 2: Convert to fraction form
   2,966.81/4,612.22 = 4,612.22/x
3. Step 3: Cross multiply
   2,966.81x = 4,612.22 × 4,612.22
4. Step 4: Simplify right side
   2,966.81x = 21,272,561.80
5. Step 5: Solve for x
   x = 21,272,561.80/2,966.81
6. Step 6: Final answer
   x = 7,170.17