Finding the Third Proportional to 33,646 and 70,780

Step by Step Solution

1. Step 1: Write the proportion equation
   33,646 : 70,780 = 70,780 : x
2. Step 2: Convert to fraction form
   33,646/70,780 = 70,780/x
3. Step 3: Cross multiply
   33,646x = 70,780 × 70,780
4. Step 4: Simplify right side
   33,646x = 5,009,808,400
5. Step 5: Solve for x
   x = 5,009,808,400/33,646
6. Step 6: Final answer
   x = 148,897.59