Finding the Third Proportional to 2,137 and 3,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,137 : 3,547.50 = 3,547.50 : x
2. Step 2: Convert to fraction form
   2,137/3,547.50 = 3,547.50/x
3. Step 3: Cross multiply
   2,137x = 3,547.50 × 3,547.50
4. Step 4: Simplify right side
   2,137x = 12,584,756.25
5. Step 5: Solve for x
   x = 12,584,756.25/2,137
6. Step 6: Final answer
   x = 5,888.98