Finding the Third Proportional to 29,780 and 42,328

Step by Step Solution

1. Step 1: Write the proportion equation
   29,780 : 42,328 = 42,328 : x
2. Step 2: Convert to fraction form
   29,780/42,328 = 42,328/x
3. Step 3: Cross multiply
   29,780x = 42,328 × 42,328
4. Step 4: Simplify right side
   29,780x = 1,791,659,584
5. Step 5: Solve for x
   x = 1,791,659,584/29,780
6. Step 6: Final answer
   x = 60,163.18