Finding the Third Proportional to 5,301 and 7,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,301 : 7,072.50 = 7,072.50 : x
2. Step 2: Convert to fraction form
   5,301/7,072.50 = 7,072.50/x
3. Step 3: Cross multiply
   5,301x = 7,072.50 × 7,072.50
4. Step 4: Simplify right side
   5,301x = 50,020,256.25
5. Step 5: Solve for x
   x = 50,020,256.25/5,301
6. Step 6: Final answer
   x = 9,436.00