Finding the Third Proportional to 2,547 and 3,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,547 : 3,748.50 = 3,748.50 : x
2. Step 2: Convert to fraction form
   2,547/3,748.50 = 3,748.50/x
3. Step 3: Cross multiply
   2,547x = 3,748.50 × 3,748.50
4. Step 4: Simplify right side
   2,547x = 14,051,252.25
5. Step 5: Solve for x
   x = 14,051,252.25/2,547
6. Step 6: Final answer
   x = 5,516.79