Finding the Third Proportional to 1,297 and 1,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297 : 1,641.50 = 1,641.50 : x
2. Step 2: Convert to fraction form
   1,297/1,641.50 = 1,641.50/x
3. Step 3: Cross multiply
   1,297x = 1,641.50 × 1,641.50
4. Step 4: Simplify right side
   1,297x = 2,694,522.25
5. Step 5: Solve for x
   x = 2,694,522.25/1,297
6. Step 6: Final answer
   x = 2,077.50