Finding the Third Proportional to 35,563 and 52,030

Step by Step Solution

1. Step 1: Write the proportion equation
   35,563 : 52,030 = 52,030 : x
2. Step 2: Convert to fraction form
   35,563/52,030 = 52,030/x
3. Step 3: Cross multiply
   35,563x = 52,030 × 52,030
4. Step 4: Simplify right side
   35,563x = 2,707,120,900
5. Step 5: Solve for x
   x = 2,707,120,900/35,563
6. Step 6: Final answer
   x = 76,121.84