Finding the Third Proportional to 34,680 and 76,138

Step by Step Solution

1. Step 1: Write the proportion equation
   34,680 : 76,138 = 76,138 : x
2. Step 2: Convert to fraction form
   34,680/76,138 = 76,138/x
3. Step 3: Cross multiply
   34,680x = 76,138 × 76,138
4. Step 4: Simplify right side
   34,680x = 5,796,995,044
5. Step 5: Solve for x
   x = 5,796,995,044/34,680
6. Step 6: Final answer
   x = 167,156.72