Finding the Third Proportional to 35,530 and 59,214

Step by Step Solution

1. Step 1: Write the proportion equation
   35,530 : 59,214 = 59,214 : x
2. Step 2: Convert to fraction form
   35,530/59,214 = 59,214/x
3. Step 3: Cross multiply
   35,530x = 59,214 × 59,214
4. Step 4: Simplify right side
   35,530x = 3,506,297,796
5. Step 5: Solve for x
   x = 3,506,297,796/35,530
6. Step 6: Final answer
   x = 98,685.56