Finding the Third Proportional to 35,784 and 51,610

Step by Step Solution

1. Step 1: Write the proportion equation
   35,784 : 51,610 = 51,610 : x
2. Step 2: Convert to fraction form
   35,784/51,610 = 51,610/x
3. Step 3: Cross multiply
   35,784x = 51,610 × 51,610
4. Step 4: Simplify right side
   35,784x = 2,663,592,100
5. Step 5: Solve for x
   x = 2,663,592,100/35,784
6. Step 6: Final answer
   x = 74,435.28