Finding the Third Proportional to 35,780 and 56,740

Step by Step Solution

1. Step 1: Write the proportion equation
   35,780 : 56,740 = 56,740 : x
2. Step 2: Convert to fraction form
   35,780/56,740 = 56,740/x
3. Step 3: Cross multiply
   35,780x = 56,740 × 56,740
4. Step 4: Simplify right side
   35,780x = 3,219,427,600
5. Step 5: Solve for x
   x = 3,219,427,600/35,780
6. Step 6: Final answer
   x = 89,978.41