Finding the Third Proportional to 42,269 and 59,091

Step by Step Solution

1. Step 1: Write the proportion equation
   42,269 : 59,091 = 59,091 : x
2. Step 2: Convert to fraction form
   42,269/59,091 = 59,091/x
3. Step 3: Cross multiply
   42,269x = 59,091 × 59,091
4. Step 4: Simplify right side
   42,269x = 3,491,746,281
5. Step 5: Solve for x
   x = 3,491,746,281/42,269
6. Step 6: Final answer
   x = 82,607.73