Finding the Third Proportional to 32,866 and 70,820

Step by Step Solution

1. Step 1: Write the proportion equation
   32,866 : 70,820 = 70,820 : x
2. Step 2: Convert to fraction form
   32,866/70,820 = 70,820/x
3. Step 3: Cross multiply
   32,866x = 70,820 × 70,820
4. Step 4: Simplify right side
   32,866x = 5,015,472,400
5. Step 5: Solve for x
   x = 5,015,472,400/32,866
6. Step 6: Final answer
   x = 152,603.68