Finding the Third Proportional to 33,648 and 70,781

Step by Step Solution

1. Step 1: Write the proportion equation
   33,648 : 70,781 = 70,781 : x
2. Step 2: Convert to fraction form
   33,648/70,781 = 70,781/x
3. Step 3: Cross multiply
   33,648x = 70,781 × 70,781
4. Step 4: Simplify right side
   33,648x = 5,009,949,961
5. Step 5: Solve for x
   x = 5,009,949,961/33,648
6. Step 6: Final answer
   x = 148,892.95