Finding the Third Proportional to 1,013.77 and 1,347.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.77 : 1,347.89 = 1,347.89 : x
2. Step 2: Convert to fraction form
   1,013.77/1,347.89 = 1,347.89/x
3. Step 3: Cross multiply
   1,013.77x = 1,347.89 × 1,347.89
4. Step 4: Simplify right side
   1,013.77x = 1,816,809.14
5. Step 5: Solve for x
   x = 1,816,809.14/1,013.77
6. Step 6: Final answer
   x = 1,792.14