Finding the Third Proportional to 34,624 and 72,704

Step by Step Solution

1. Step 1: Write the proportion equation
   34,624 : 72,704 = 72,704 : x
2. Step 2: Convert to fraction form
   34,624/72,704 = 72,704/x
3. Step 3: Cross multiply
   34,624x = 72,704 × 72,704
4. Step 4: Simplify right side
   34,624x = 5,285,871,616
5. Step 5: Solve for x
   x = 5,285,871,616/34,624
6. Step 6: Final answer
   x = 152,664.96