Finding the Third Proportional to 1,297.69 and 1,937.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.69 : 1,937.67 = 1,937.67 : x
2. Step 2: Convert to fraction form
   1,297.69/1,937.67 = 1,937.67/x
3. Step 3: Cross multiply
   1,297.69x = 1,937.67 × 1,937.67
4. Step 4: Simplify right side
   1,297.69x = 3,754,572.30
5. Step 5: Solve for x
   x = 3,754,572.30/1,297.69
6. Step 6: Final answer
   x = 2,893.28