Finding the Third Proportional to 32,322 and 70,659

Step by Step Solution

1. Step 1: Write the proportion equation
   32,322 : 70,659 = 70,659 : x
2. Step 2: Convert to fraction form
   32,322/70,659 = 70,659/x
3. Step 3: Cross multiply
   32,322x = 70,659 × 70,659
4. Step 4: Simplify right side
   32,322x = 4,992,694,281
5. Step 5: Solve for x
   x = 4,992,694,281/32,322
6. Step 6: Final answer
   x = 154,467.37