Finding the Third Proportional to 42,215 and 59,369

Step by Step Solution

1. Step 1: Write the proportion equation
   42,215 : 59,369 = 59,369 : x
2. Step 2: Convert to fraction form
   42,215/59,369 = 59,369/x
3. Step 3: Cross multiply
   42,215x = 59,369 × 59,369
4. Step 4: Simplify right side
   42,215x = 3,524,678,161
5. Step 5: Solve for x
   x = 3,524,678,161/42,215
6. Step 6: Final answer
   x = 83,493.50