Finding the Third Proportional to 1,738.50 and 1,851

Step by Step Solution

1. Step 1: Write the proportion equation
   1,738.50 : 1,851 = 1,851 : x
2. Step 2: Convert to fraction form
   1,738.50/1,851 = 1,851/x
3. Step 3: Cross multiply
   1,738.50x = 1,851 × 1,851
4. Step 4: Simplify right side
   1,738.50x = 3,426,201
5. Step 5: Solve for x
   x = 3,426,201/1,738.50
6. Step 6: Final answer
   x = 1,970.78