Finding the Third Proportional to 1,980 and 3,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,980 : 3,547.50 = 3,547.50 : x
2. Step 2: Convert to fraction form
   1,980/3,547.50 = 3,547.50/x
3. Step 3: Cross multiply
   1,980x = 3,547.50 × 3,547.50
4. Step 4: Simplify right side
   1,980x = 12,584,756.25
5. Step 5: Solve for x
   x = 12,584,756.25/1,980
6. Step 6: Final answer
   x = 6,355.94