Finding the Third Proportional to 705.25 and 1,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   705.25 : 1,437.50 = 1,437.50 : x
2. Step 2: Convert to fraction form
   705.25/1,437.50 = 1,437.50/x
3. Step 3: Cross multiply
   705.25x = 1,437.50 × 1,437.50
4. Step 4: Simplify right side
   705.25x = 2,066,406.25
5. Step 5: Solve for x
   x = 2,066,406.25/705.25
6. Step 6: Final answer
   x = 2,930.03