Finding the Third Proportional to 35,094 and 75,012

Step by Step Solution

1. Step 1: Write the proportion equation
   35,094 : 75,012 = 75,012 : x
2. Step 2: Convert to fraction form
   35,094/75,012 = 75,012/x
3. Step 3: Cross multiply
   35,094x = 75,012 × 75,012
4. Step 4: Simplify right side
   35,094x = 5,626,800,144
5. Step 5: Solve for x
   x = 5,626,800,144/35,094
6. Step 6: Final answer
   x = 160,335.10