Finding the Third Proportional to 32,385 and 70,458

Step by Step Solution

1. Step 1: Write the proportion equation
   32,385 : 70,458 = 70,458 : x
2. Step 2: Convert to fraction form
   32,385/70,458 = 70,458/x
3. Step 3: Cross multiply
   32,385x = 70,458 × 70,458
4. Step 4: Simplify right side
   32,385x = 4,964,329,764
5. Step 5: Solve for x
   x = 4,964,329,764/32,385
6. Step 6: Final answer
   x = 153,291.02