Finding the Third Proportional to 34,442 and 72,982

Step by Step Solution

1. Step 1: Write the proportion equation
   34,442 : 72,982 = 72,982 : x
2. Step 2: Convert to fraction form
   34,442/72,982 = 72,982/x
3. Step 3: Cross multiply
   34,442x = 72,982 × 72,982
4. Step 4: Simplify right side
   34,442x = 5,326,372,324
5. Step 5: Solve for x
   x = 5,326,372,324/34,442
6. Step 6: Final answer
   x = 154,647.59