Finding the Third Proportional to 1,012.50 and 1,533.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.50 : 1,533.94 = 1,533.94 : x
2. Step 2: Convert to fraction form
   1,012.50/1,533.94 = 1,533.94/x
3. Step 3: Cross multiply
   1,012.50x = 1,533.94 × 1,533.94
4. Step 4: Simplify right side
   1,012.50x = 2,352,964.25
5. Step 5: Solve for x
   x = 2,352,964.25/1,012.50
6. Step 6: Final answer
   x = 2,323.92