Finding the Third Proportional to 32,586 and 70,777

Step by Step Solution

1. Step 1: Write the proportion equation
   32,586 : 70,777 = 70,777 : x
2. Step 2: Convert to fraction form
   32,586/70,777 = 70,777/x
3. Step 3: Cross multiply
   32,586x = 70,777 × 70,777
4. Step 4: Simplify right side
   32,586x = 5,009,383,729
5. Step 5: Solve for x
   x = 5,009,383,729/32,586
6. Step 6: Final answer
   x = 153,728.10