Finding the Third Proportional to 34,262 and 74,733

Step by Step Solution

1. Step 1: Write the proportion equation
   34,262 : 74,733 = 74,733 : x
2. Step 2: Convert to fraction form
   34,262/74,733 = 74,733/x
3. Step 3: Cross multiply
   34,262x = 74,733 × 74,733
4. Step 4: Simplify right side
   34,262x = 5,585,021,289
5. Step 5: Solve for x
   x = 5,585,021,289/34,262
6. Step 6: Final answer
   x = 163,009.20