Finding the Third Proportional to 32,412 and 70,842

Step by Step Solution

1. Step 1: Write the proportion equation
   32,412 : 70,842 = 70,842 : x
2. Step 2: Convert to fraction form
   32,412/70,842 = 70,842/x
3. Step 3: Cross multiply
   32,412x = 70,842 × 70,842
4. Step 4: Simplify right side
   32,412x = 5,018,588,964
5. Step 5: Solve for x
   x = 5,018,588,964/32,412
6. Step 6: Final answer
   x = 154,837.37