Finding the Third Proportional to 2,137.50 and 4,604.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,137.50 : 4,604.25 = 4,604.25 : x
2. Step 2: Convert to fraction form
   2,137.50/4,604.25 = 4,604.25/x
3. Step 3: Cross multiply
   2,137.50x = 4,604.25 × 4,604.25
4. Step 4: Simplify right side
   2,137.50x = 21,199,118.06
5. Step 5: Solve for x
   x = 21,199,118.06/2,137.50
6. Step 6: Final answer
   x = 9,917.72