Finding the Third Proportional to 35,520 and 59,194

Step by Step Solution

1. Step 1: Write the proportion equation
   35,520 : 59,194 = 59,194 : x
2. Step 2: Convert to fraction form
   35,520/59,194 = 59,194/x
3. Step 3: Cross multiply
   35,520x = 59,194 × 59,194
4. Step 4: Simplify right side
   35,520x = 3,503,929,636
5. Step 5: Solve for x
   x = 3,503,929,636/35,520
6. Step 6: Final answer
   x = 98,646.67