Finding the Third Proportional to 35,759 and 42,347

Step by Step Solution

1. Step 1: Write the proportion equation
   35,759 : 42,347 = 42,347 : x
2. Step 2: Convert to fraction form
   35,759/42,347 = 42,347/x
3. Step 3: Cross multiply
   35,759x = 42,347 × 42,347
4. Step 4: Simplify right side
   35,759x = 1,793,268,409
5. Step 5: Solve for x
   x = 1,793,268,409/35,759
6. Step 6: Final answer
   x = 50,148.73