Finding the Third Proportional to 29,168 and 42,780

Step by Step Solution

1. Step 1: Write the proportion equation
   29,168 : 42,780 = 42,780 : x
2. Step 2: Convert to fraction form
   29,168/42,780 = 42,780/x
3. Step 3: Cross multiply
   29,168x = 42,780 × 42,780
4. Step 4: Simplify right side
   29,168x = 1,830,128,400
5. Step 5: Solve for x
   x = 1,830,128,400/29,168
6. Step 6: Final answer
   x = 62,744.39