Finding the Third Proportional to 35,829 and 56,493

Step by Step Solution

1. Step 1: Write the proportion equation
   35,829 : 56,493 = 56,493 : x
2. Step 2: Convert to fraction form
   35,829/56,493 = 56,493/x
3. Step 3: Cross multiply
   35,829x = 56,493 × 56,493
4. Step 4: Simplify right side
   35,829x = 3,191,459,049
5. Step 5: Solve for x
   x = 3,191,459,049/35,829
6. Step 6: Final answer
   x = 89,074.75