Finding the Third Proportional to 3,127.50 and 4,736.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,127.50 : 4,736.25 = 4,736.25 : x
2. Step 2: Convert to fraction form
   3,127.50/4,736.25 = 4,736.25/x
3. Step 3: Cross multiply
   3,127.50x = 4,736.25 × 4,736.25
4. Step 4: Simplify right side
   3,127.50x = 22,432,064.06
5. Step 5: Solve for x
   x = 22,432,064.06/3,127.50
6. Step 6: Final answer
   x = 7,172.52