Finding the Third Proportional to 1,164.38 and 1,346.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.38 : 1,346.63 = 1,346.63 : x
2. Step 2: Convert to fraction form
   1,164.38/1,346.63 = 1,346.63/x
3. Step 3: Cross multiply
   1,164.38x = 1,346.63 × 1,346.63
4. Step 4: Simplify right side
   1,164.38x = 1,813,398.89
5. Step 5: Solve for x
   x = 1,813,398.89/1,164.38
6. Step 6: Final answer
   x = 1,557.40