Finding the Third Proportional to 35,733 and 56,532

Step by Step Solution

1. Step 1: Write the proportion equation
   35,733 : 56,532 = 56,532 : x
2. Step 2: Convert to fraction form
   35,733/56,532 = 56,532/x
3. Step 3: Cross multiply
   35,733x = 56,532 × 56,532
4. Step 4: Simplify right side
   35,733x = 3,195,867,024
5. Step 5: Solve for x
   x = 3,195,867,024/35,733
6. Step 6: Final answer
   x = 89,437.41