Finding the Third Proportional to 23,620 and 35,127

Step by Step Solution

1. Step 1: Write the proportion equation
   23,620 : 35,127 = 35,127 : x
2. Step 2: Convert to fraction form
   23,620/35,127 = 35,127/x
3. Step 3: Cross multiply
   23,620x = 35,127 × 35,127
4. Step 4: Simplify right side
   23,620x = 1,233,906,129
5. Step 5: Solve for x
   x = 1,233,906,129/23,620
6. Step 6: Final answer
   x = 52,239.89