Finding the Third Proportional to 33,464 and 67,840

Step by Step Solution

1. Step 1: Write the proportion equation
   33,464 : 67,840 = 67,840 : x
2. Step 2: Convert to fraction form
   33,464/67,840 = 67,840/x
3. Step 3: Cross multiply
   33,464x = 67,840 × 67,840
4. Step 4: Simplify right side
   33,464x = 4,602,265,600
5. Step 5: Solve for x
   x = 4,602,265,600/33,464
6. Step 6: Final answer
   x = 137,528.85