Finding the Third Proportional to 34,002 and 72,045

Step by Step Solution

1. Step 1: Write the proportion equation
   34,002 : 72,045 = 72,045 : x
2. Step 2: Convert to fraction form
   34,002/72,045 = 72,045/x
3. Step 3: Cross multiply
   34,002x = 72,045 × 72,045
4. Step 4: Simplify right side
   34,002x = 5,190,482,025
5. Step 5: Solve for x
   x = 5,190,482,025/34,002
6. Step 6: Final answer
   x = 152,652.26