Finding the Third Proportional to 35,761 and 42,349

Step by Step Solution

1. Step 1: Write the proportion equation
   35,761 : 42,349 = 42,349 : x
2. Step 2: Convert to fraction form
   35,761/42,349 = 42,349/x
3. Step 3: Cross multiply
   35,761x = 42,349 × 42,349
4. Step 4: Simplify right side
   35,761x = 1,793,437,801
5. Step 5: Solve for x
   x = 1,793,437,801/35,761
6. Step 6: Final answer
   x = 50,150.66