Finding the Third Proportional to 1,013.77 and 2,164.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.77 : 2,164.22 = 2,164.22 : x
2. Step 2: Convert to fraction form
   1,013.77/2,164.22 = 2,164.22/x
3. Step 3: Cross multiply
   1,013.77x = 2,164.22 × 2,164.22
4. Step 4: Simplify right side
   1,013.77x = 4,683,842.80
5. Step 5: Solve for x
   x = 4,683,842.80/1,013.77
6. Step 6: Final answer
   x = 4,620.24