Finding the Third Proportional to 34,188 and 70,680

Step by Step Solution

1. Step 1: Write the proportion equation
   34,188 : 70,680 = 70,680 : x
2. Step 2: Convert to fraction form
   34,188/70,680 = 70,680/x
3. Step 3: Cross multiply
   34,188x = 70,680 × 70,680
4. Step 4: Simplify right side
   34,188x = 4,995,662,400
5. Step 5: Solve for x
   x = 4,995,662,400/34,188
6. Step 6: Final answer
   x = 146,123.27