Finding the Third Proportional to 1,666.50 and 3,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,666.50 : 3,547.50 = 3,547.50 : x
2. Step 2: Convert to fraction form
   1,666.50/3,547.50 = 3,547.50/x
3. Step 3: Cross multiply
   1,666.50x = 3,547.50 × 3,547.50
4. Step 4: Simplify right side
   1,666.50x = 12,584,756.25
5. Step 5: Solve for x
   x = 12,584,756.25/1,666.50
6. Step 6: Final answer
   x = 7,551.61