Finding the Third Proportional to 42,606 and 59,742

Step by Step Solution

1. Step 1: Write the proportion equation
   42,606 : 59,742 = 59,742 : x
2. Step 2: Convert to fraction form
   42,606/59,742 = 59,742/x
3. Step 3: Cross multiply
   42,606x = 59,742 × 59,742
4. Step 4: Simplify right side
   42,606x = 3,569,106,564
5. Step 5: Solve for x
   x = 3,569,106,564/42,606
6. Step 6: Final answer
   x = 83,770.05