Finding the Third Proportional to 29,738 and 42,865

Step by Step Solution

1. Step 1: Write the proportion equation
   29,738 : 42,865 = 42,865 : x
2. Step 2: Convert to fraction form
   29,738/42,865 = 42,865/x
3. Step 3: Cross multiply
   29,738x = 42,865 × 42,865
4. Step 4: Simplify right side
   29,738x = 1,837,408,225
5. Step 5: Solve for x
   x = 1,837,408,225/29,738
6. Step 6: Final answer
   x = 61,786.54