Finding the Third Proportional to 34,648 and 73,416

Step by Step Solution

1. Step 1: Write the proportion equation
   34,648 : 73,416 = 73,416 : x
2. Step 2: Convert to fraction form
   34,648/73,416 = 73,416/x
3. Step 3: Cross multiply
   34,648x = 73,416 × 73,416
4. Step 4: Simplify right side
   34,648x = 5,389,909,056
5. Step 5: Solve for x
   x = 5,389,909,056/34,648
6. Step 6: Final answer
   x = 155,561.91