Finding the Third Proportional to 35,316 and 72,628

Step by Step Solution

1. Step 1: Write the proportion equation
   35,316 : 72,628 = 72,628 : x
2. Step 2: Convert to fraction form
   35,316/72,628 = 72,628/x
3. Step 3: Cross multiply
   35,316x = 72,628 × 72,628
4. Step 4: Simplify right side
   35,316x = 5,274,826,384
5. Step 5: Solve for x
   x = 5,274,826,384/35,316
6. Step 6: Final answer
   x = 149,360.81