Finding the Third Proportional to 34,046 and 50,583

Step by Step Solution

1. Step 1: Write the proportion equation
   34,046 : 50,583 = 50,583 : x
2. Step 2: Convert to fraction form
   34,046/50,583 = 50,583/x
3. Step 3: Cross multiply
   34,046x = 50,583 × 50,583
4. Step 4: Simplify right side
   34,046x = 2,558,639,889
5. Step 5: Solve for x
   x = 2,558,639,889/34,046
6. Step 6: Final answer
   x = 75,152.44