Finding the Third Proportional to 35,902 and 73,586

Step by Step Solution

1. Step 1: Write the proportion equation
   35,902 : 73,586 = 73,586 : x
2. Step 2: Convert to fraction form
   35,902/73,586 = 73,586/x
3. Step 3: Cross multiply
   35,902x = 73,586 × 73,586
4. Step 4: Simplify right side
   35,902x = 5,414,899,396
5. Step 5: Solve for x
   x = 5,414,899,396/35,902
6. Step 6: Final answer
   x = 150,824.45