Finding the Third Proportional to 32,582 and 70,834

Step by Step Solution

1. Step 1: Write the proportion equation
   32,582 : 70,834 = 70,834 : x
2. Step 2: Convert to fraction form
   32,582/70,834 = 70,834/x
3. Step 3: Cross multiply
   32,582x = 70,834 × 70,834
4. Step 4: Simplify right side
   32,582x = 5,017,455,556
5. Step 5: Solve for x
   x = 5,017,455,556/32,582
6. Step 6: Final answer
   x = 153,994.71