Finding the Third Proportional to 42,476 and 59,408

Step by Step Solution

1. Step 1: Write the proportion equation
   42,476 : 59,408 = 59,408 : x
2. Step 2: Convert to fraction form
   42,476/59,408 = 59,408/x
3. Step 3: Cross multiply
   42,476x = 59,408 × 59,408
4. Step 4: Simplify right side
   42,476x = 3,529,310,464
5. Step 5: Solve for x
   x = 3,529,310,464/42,476
6. Step 6: Final answer
   x = 83,089.52