Finding the Third Proportional to 34,612 and 53,698

Step by Step Solution

1. Step 1: Write the proportion equation
   34,612 : 53,698 = 53,698 : x
2. Step 2: Convert to fraction form
   34,612/53,698 = 53,698/x
3. Step 3: Cross multiply
   34,612x = 53,698 × 53,698
4. Step 4: Simplify right side
   34,612x = 2,883,475,204
5. Step 5: Solve for x
   x = 2,883,475,204/34,612
6. Step 6: Final answer
   x = 83,308.54