Finding the Third Proportional to 1,209 and 1,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,209 : 1,543.50 = 1,543.50 : x
2. Step 2: Convert to fraction form
   1,209/1,543.50 = 1,543.50/x
3. Step 3: Cross multiply
   1,209x = 1,543.50 × 1,543.50
4. Step 4: Simplify right side
   1,209x = 2,382,392.25
5. Step 5: Solve for x
   x = 2,382,392.25/1,209
6. Step 6: Final answer
   x = 1,970.55