Finding the Third Proportional to 42,286 and 59,121

Step by Step Solution

1. Step 1: Write the proportion equation
   42,286 : 59,121 = 59,121 : x
2. Step 2: Convert to fraction form
   42,286/59,121 = 59,121/x
3. Step 3: Cross multiply
   42,286x = 59,121 × 59,121
4. Step 4: Simplify right side
   42,286x = 3,495,292,641
5. Step 5: Solve for x
   x = 3,495,292,641/42,286
6. Step 6: Final answer
   x = 82,658.39