Finding the Third Proportional to 34,922 and 54,147

Step by Step Solution

1. Step 1: Write the proportion equation
   34,922 : 54,147 = 54,147 : x
2. Step 2: Convert to fraction form
   34,922/54,147 = 54,147/x
3. Step 3: Cross multiply
   34,922x = 54,147 × 54,147
4. Step 4: Simplify right side
   34,922x = 2,931,897,609
5. Step 5: Solve for x
   x = 2,931,897,609/34,922
6. Step 6: Final answer
   x = 83,955.60