Finding the Third Proportional to 35,698 and 56,508

Step by Step Solution

1. Step 1: Write the proportion equation
   35,698 : 56,508 = 56,508 : x
2. Step 2: Convert to fraction form
   35,698/56,508 = 56,508/x
3. Step 3: Cross multiply
   35,698x = 56,508 × 56,508
4. Step 4: Simplify right side
   35,698x = 3,193,154,064
5. Step 5: Solve for x
   x = 3,193,154,064/35,698
6. Step 6: Final answer
   x = 89,449.10