Finding the Third Proportional to 29,759 and 42,307

Step by Step Solution

1. Step 1: Write the proportion equation
   29,759 : 42,307 = 42,307 : x
2. Step 2: Convert to fraction form
   29,759/42,307 = 42,307/x
3. Step 3: Cross multiply
   29,759x = 42,307 × 42,307
4. Step 4: Simplify right side
   29,759x = 1,789,882,249
5. Step 5: Solve for x
   x = 1,789,882,249/29,759
6. Step 6: Final answer
   x = 60,145.91