Finding the Third Proportional to 35,519 and 59,190

Step by Step Solution

1. Step 1: Write the proportion equation
   35,519 : 59,190 = 59,190 : x
2. Step 2: Convert to fraction form
   35,519/59,190 = 59,190/x
3. Step 3: Cross multiply
   35,519x = 59,190 × 59,190
4. Step 4: Simplify right side
   35,519x = 3,503,456,100
5. Step 5: Solve for x
   x = 3,503,456,100/35,519
6. Step 6: Final answer
   x = 98,636.11