Finding the Third Proportional to 34,680 and 74,274

Step by Step Solution

1. Step 1: Write the proportion equation
   34,680 : 74,274 = 74,274 : x
2. Step 2: Convert to fraction form
   34,680/74,274 = 74,274/x
3. Step 3: Cross multiply
   34,680x = 74,274 × 74,274
4. Step 4: Simplify right side
   34,680x = 5,516,627,076
5. Step 5: Solve for x
   x = 5,516,627,076/34,680
6. Step 6: Final answer
   x = 159,072.29