Finding the Third Proportional to 32,381 and 70,646

Step by Step Solution

1. Step 1: Write the proportion equation
   32,381 : 70,646 = 70,646 : x
2. Step 2: Convert to fraction form
   32,381/70,646 = 70,646/x
3. Step 3: Cross multiply
   32,381x = 70,646 × 70,646
4. Step 4: Simplify right side
   32,381x = 4,990,857,316
5. Step 5: Solve for x
   x = 4,990,857,316/32,381
6. Step 6: Final answer
   x = 154,129.19