Finding the Third Proportional to 947.50 and 2,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   947.50 : 2,010.50 = 2,010.50 : x
2. Step 2: Convert to fraction form
   947.50/2,010.50 = 2,010.50/x
3. Step 3: Cross multiply
   947.50x = 2,010.50 × 2,010.50
4. Step 4: Simplify right side
   947.50x = 4,042,110.25
5. Step 5: Solve for x
   x = 4,042,110.25/947.50
6. Step 6: Final answer
   x = 4,266.08