Finding the Third Proportional to 42,263 and 59,083

Step by Step Solution

1. Step 1: Write the proportion equation
   42,263 : 59,083 = 59,083 : x
2. Step 2: Convert to fraction form
   42,263/59,083 = 59,083/x
3. Step 3: Cross multiply
   42,263x = 59,083 × 59,083
4. Step 4: Simplify right side
   42,263x = 3,490,800,889
5. Step 5: Solve for x
   x = 3,490,800,889/42,263
6. Step 6: Final answer
   x = 82,597.09