Finding the Third Proportional to 33,846 and 69,840

Step by Step Solution

1. Step 1: Write the proportion equation
   33,846 : 69,840 = 69,840 : x
2. Step 2: Convert to fraction form
   33,846/69,840 = 69,840/x
3. Step 3: Cross multiply
   33,846x = 69,840 × 69,840
4. Step 4: Simplify right side
   33,846x = 4,877,625,600
5. Step 5: Solve for x
   x = 4,877,625,600/33,846
6. Step 6: Final answer
   x = 144,112.32