Finding the Third Proportional to 32,864 and 70,654

Step by Step Solution

1. Step 1: Write the proportion equation
   32,864 : 70,654 = 70,654 : x
2. Step 2: Convert to fraction form
   32,864/70,654 = 70,654/x
3. Step 3: Cross multiply
   32,864x = 70,654 × 70,654
4. Step 4: Simplify right side
   32,864x = 4,991,987,716
5. Step 5: Solve for x
   x = 4,991,987,716/32,864
6. Step 6: Final answer
   x = 151,898.36