Finding the Third Proportional to 32,498 and 70,546

Step by Step Solution

1. Step 1: Write the proportion equation
   32,498 : 70,546 = 70,546 : x
2. Step 2: Convert to fraction form
   32,498/70,546 = 70,546/x
3. Step 3: Cross multiply
   32,498x = 70,546 × 70,546
4. Step 4: Simplify right side
   32,498x = 4,976,738,116
5. Step 5: Solve for x
   x = 4,976,738,116/32,498
6. Step 6: Final answer
   x = 153,139.83