Finding the Third Proportional to 32,666 and 70,864

Step by Step Solution

1. Step 1: Write the proportion equation
   32,666 : 70,864 = 70,864 : x
2. Step 2: Convert to fraction form
   32,666/70,864 = 70,864/x
3. Step 3: Cross multiply
   32,666x = 70,864 × 70,864
4. Step 4: Simplify right side
   32,666x = 5,021,706,496
5. Step 5: Solve for x
   x = 5,021,706,496/32,666
6. Step 6: Final answer
   x = 153,728.85