Finding the Third Proportional to 34,309 and 74,086

Step by Step Solution

1. Step 1: Write the proportion equation
   34,309 : 74,086 = 74,086 : x
2. Step 2: Convert to fraction form
   34,309/74,086 = 74,086/x
3. Step 3: Cross multiply
   34,309x = 74,086 × 74,086
4. Step 4: Simplify right side
   34,309x = 5,488,735,396
5. Step 5: Solve for x
   x = 5,488,735,396/34,309
6. Step 6: Final answer
   x = 159,979.46