Finding the Third Proportional to 772.50 and 1,641.38

Step by Step Solution

1. Step 1: Write the proportion equation
   772.50 : 1,641.38 = 1,641.38 : x
2. Step 2: Convert to fraction form
   772.50/1,641.38 = 1,641.38/x
3. Step 3: Cross multiply
   772.50x = 1,641.38 × 1,641.38
4. Step 4: Simplify right side
   772.50x = 2,694,111.89
5. Step 5: Solve for x
   x = 2,694,111.89/772.50
6. Step 6: Final answer
   x = 3,487.52