Finding the Third Proportional to 34,791 and 76,146

Step by Step Solution

1. Step 1: Write the proportion equation
   34,791 : 76,146 = 76,146 : x
2. Step 2: Convert to fraction form
   34,791/76,146 = 76,146/x
3. Step 3: Cross multiply
   34,791x = 76,146 × 76,146
4. Step 4: Simplify right side
   34,791x = 5,798,213,316
5. Step 5: Solve for x
   x = 5,798,213,316/34,791
6. Step 6: Final answer
   x = 166,658.43