Finding the Third Proportional to 947.50 and 2,072

Step by Step Solution

1. Step 1: Write the proportion equation
   947.50 : 2,072 = 2,072 : x
2. Step 2: Convert to fraction form
   947.50/2,072 = 2,072/x
3. Step 3: Cross multiply
   947.50x = 2,072 × 2,072
4. Step 4: Simplify right side
   947.50x = 4,293,184
5. Step 5: Solve for x
   x = 4,293,184/947.50
6. Step 6: Final answer
   x = 4,531.06