Finding the Third Proportional to 2,937.50 and 4,546.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,937.50 : 4,546.25 = 4,546.25 : x
2. Step 2: Convert to fraction form
   2,937.50/4,546.25 = 4,546.25/x
3. Step 3: Cross multiply
   2,937.50x = 4,546.25 × 4,546.25
4. Step 4: Simplify right side
   2,937.50x = 20,668,389.06
5. Step 5: Solve for x
   x = 20,668,389.06/2,937.50
6. Step 6: Final answer
   x = 7,036.05