Finding the Third Proportional to 34,434 and 52,338

Step by Step Solution

1. Step 1: Write the proportion equation
   34,434 : 52,338 = 52,338 : x
2. Step 2: Convert to fraction form
   34,434/52,338 = 52,338/x
3. Step 3: Cross multiply
   34,434x = 52,338 × 52,338
4. Step 4: Simplify right side
   34,434x = 2,739,266,244
5. Step 5: Solve for x
   x = 2,739,266,244/34,434
6. Step 6: Final answer
   x = 79,551.21