Finding the Third Proportional to 35,586 and 50,070

Step by Step Solution

1. Step 1: Write the proportion equation
   35,586 : 50,070 = 50,070 : x
2. Step 2: Convert to fraction form
   35,586/50,070 = 50,070/x
3. Step 3: Cross multiply
   35,586x = 50,070 × 50,070
4. Step 4: Simplify right side
   35,586x = 2,507,004,900
5. Step 5: Solve for x
   x = 2,507,004,900/35,586
6. Step 6: Final answer
   x = 70,449.19