Finding the Third Proportional to 32,345 and 70,384

Step by Step Solution

1. Step 1: Write the proportion equation
   32,345 : 70,384 = 70,384 : x
2. Step 2: Convert to fraction form
   32,345/70,384 = 70,384/x
3. Step 3: Cross multiply
   32,345x = 70,384 × 70,384
4. Step 4: Simplify right side
   32,345x = 4,953,907,456
5. Step 5: Solve for x
   x = 4,953,907,456/32,345
6. Step 6: Final answer
   x = 153,158.37