Finding the Third Proportional to 42,260 and 65,812

Step by Step Solution

1. Step 1: Write the proportion equation
   42,260 : 65,812 = 65,812 : x
2. Step 2: Convert to fraction form
   42,260/65,812 = 65,812/x
3. Step 3: Cross multiply
   42,260x = 65,812 × 65,812
4. Step 4: Simplify right side
   42,260x = 4,331,219,344
5. Step 5: Solve for x
   x = 4,331,219,344/42,260
6. Step 6: Final answer
   x = 102,489.81