Finding the Third Proportional to 34,002 and 74,052

Step by Step Solution

1. Step 1: Write the proportion equation
   34,002 : 74,052 = 74,052 : x
2. Step 2: Convert to fraction form
   34,002/74,052 = 74,052/x
3. Step 3: Cross multiply
   34,002x = 74,052 × 74,052
4. Step 4: Simplify right side
   34,002x = 5,483,698,704
5. Step 5: Solve for x
   x = 5,483,698,704/34,002
6. Step 6: Final answer
   x = 161,275.77