Finding the Third Proportional to 42,930 and 57,321

Step by Step Solution

1. Step 1: Write the proportion equation
   42,930 : 57,321 = 57,321 : x
2. Step 2: Convert to fraction form
   42,930/57,321 = 57,321/x
3. Step 3: Cross multiply
   42,930x = 57,321 × 57,321
4. Step 4: Simplify right side
   42,930x = 3,285,697,041
5. Step 5: Solve for x
   x = 3,285,697,041/42,930
6. Step 6: Final answer
   x = 76,536.15