Finding the Third Proportional to 35,515 and 59,185

Step by Step Solution

1. Step 1: Write the proportion equation
   35,515 : 59,185 = 59,185 : x
2. Step 2: Convert to fraction form
   35,515/59,185 = 59,185/x
3. Step 3: Cross multiply
   35,515x = 59,185 × 59,185
4. Step 4: Simplify right side
   35,515x = 3,502,864,225
5. Step 5: Solve for x
   x = 3,502,864,225/35,515
6. Step 6: Final answer
   x = 98,630.56