Finding the Third Proportional to 34,665 and 76,094

Step by Step Solution

1. Step 1: Write the proportion equation
   34,665 : 76,094 = 76,094 : x
2. Step 2: Convert to fraction form
   34,665/76,094 = 76,094/x
3. Step 3: Cross multiply
   34,665x = 76,094 × 76,094
4. Step 4: Simplify right side
   34,665x = 5,790,296,836
5. Step 5: Solve for x
   x = 5,790,296,836/34,665
6. Step 6: Final answer
   x = 167,035.82