Finding the Third Proportional to 946.69 and 2,070.56

Step by Step Solution

1. Step 1: Write the proportion equation
   946.69 : 2,070.56 = 2,070.56 : x
2. Step 2: Convert to fraction form
   946.69/2,070.56 = 2,070.56/x
3. Step 3: Cross multiply
   946.69x = 2,070.56 × 2,070.56
4. Step 4: Simplify right side
   946.69x = 4,287,229.07
5. Step 5: Solve for x
   x = 4,287,229.07/946.69
6. Step 6: Final answer
   x = 4,528.66