Finding the Third Proportional to 34,636 and 50,658

Step by Step Solution

1. Step 1: Write the proportion equation
   34,636 : 50,658 = 50,658 : x
2. Step 2: Convert to fraction form
   34,636/50,658 = 50,658/x
3. Step 3: Cross multiply
   34,636x = 50,658 × 50,658
4. Step 4: Simplify right side
   34,636x = 2,566,232,964
5. Step 5: Solve for x
   x = 2,566,232,964/34,636
6. Step 6: Final answer
   x = 74,091.49