Finding the Third Proportional to 32,842 and 70,460

Step by Step Solution

1. Step 1: Write the proportion equation
   32,842 : 70,460 = 70,460 : x
2. Step 2: Convert to fraction form
   32,842/70,460 = 70,460/x
3. Step 3: Cross multiply
   32,842x = 70,460 × 70,460
4. Step 4: Simplify right side
   32,842x = 4,964,611,600
5. Step 5: Solve for x
   x = 4,964,611,600/32,842
6. Step 6: Final answer
   x = 151,166.54