Finding the Third Proportional to 1,846.13 and 3,758.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,846.13 : 3,758.06 = 3,758.06 : x
2. Step 2: Convert to fraction form
   1,846.13/3,758.06 = 3,758.06/x
3. Step 3: Cross multiply
   1,846.13x = 3,758.06 × 3,758.06
4. Step 4: Simplify right side
   1,846.13x = 14,123,033.75
5. Step 5: Solve for x
   x = 14,123,033.75/1,846.13
6. Step 6: Final answer
   x = 7,650.10