Finding the Third Proportional to 1,384.13 and 1,796.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.13 : 1,796.06 = 1,796.06 : x
2. Step 2: Convert to fraction form
   1,384.13/1,796.06 = 1,796.06/x
3. Step 3: Cross multiply
   1,384.13x = 1,796.06 × 1,796.06
4. Step 4: Simplify right side
   1,384.13x = 3,225,840.50
5. Step 5: Solve for x
   x = 3,225,840.50/1,384.13
6. Step 6: Final answer
   x = 2,330.60