Finding the Third Proportional to 42,408 and 59,574

Step by Step Solution

1. Step 1: Write the proportion equation
   42,408 : 59,574 = 59,574 : x
2. Step 2: Convert to fraction form
   42,408/59,574 = 59,574/x
3. Step 3: Cross multiply
   42,408x = 59,574 × 59,574
4. Step 4: Simplify right side
   42,408x = 3,549,061,476
5. Step 5: Solve for x
   x = 3,549,061,476/42,408
6. Step 6: Final answer
   x = 83,688.49