Finding the Third Proportional to 1,012.50 and 2,171.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.50 : 2,171.81 = 2,171.81 : x
2. Step 2: Convert to fraction form
   1,012.50/2,171.81 = 2,171.81/x
3. Step 3: Cross multiply
   1,012.50x = 2,171.81 × 2,171.81
4. Step 4: Simplify right side
   1,012.50x = 4,716,769.54
5. Step 5: Solve for x
   x = 4,716,769.54/1,012.50
6. Step 6: Final answer
   x = 4,658.54