Finding the Third Proportional to 35,706 and 73,572

Step by Step Solution

1. Step 1: Write the proportion equation
   35,706 : 73,572 = 73,572 : x
2. Step 2: Convert to fraction form
   35,706/73,572 = 73,572/x
3. Step 3: Cross multiply
   35,706x = 73,572 × 73,572
4. Step 4: Simplify right side
   35,706x = 5,412,839,184
5. Step 5: Solve for x
   x = 5,412,839,184/35,706
6. Step 6: Final answer
   x = 151,594.67