Finding the Third Proportional to 4,642.03 and 10,164.80

Step by Step Solution

1. Step 1: Write the proportion equation
   4,642.03 : 10,164.80 = 10,164.80 : x
2. Step 2: Convert to fraction form
   4,642.03/10,164.80 = 10,164.80/x
3. Step 3: Cross multiply
   4,642.03x = 10,164.80 × 10,164.80
4. Step 4: Simplify right side
   4,642.03x = 103,323,095.51
5. Step 5: Solve for x
   x = 103,323,095.51/4,642.03
6. Step 6: Final answer
   x = 22,258.16