Finding the Third Proportional to 34,697 and 74,314

Step by Step Solution

1. Step 1: Write the proportion equation
   34,697 : 74,314 = 74,314 : x
2. Step 2: Convert to fraction form
   34,697/74,314 = 74,314/x
3. Step 3: Cross multiply
   34,697x = 74,314 × 74,314
4. Step 4: Simplify right side
   34,697x = 5,522,570,596
5. Step 5: Solve for x
   x = 5,522,570,596/34,697
6. Step 6: Final answer
   x = 159,165.65