Finding the Third Proportional to 33,762 and 74,274

Step by Step Solution

1. Step 1: Write the proportion equation
   33,762 : 74,274 = 74,274 : x
2. Step 2: Convert to fraction form
   33,762/74,274 = 74,274/x
3. Step 3: Cross multiply
   33,762x = 74,274 × 74,274
4. Step 4: Simplify right side
   33,762x = 5,516,627,076
5. Step 5: Solve for x
   x = 5,516,627,076/33,762
6. Step 6: Final answer
   x = 163,397.52