Finding the Third Proportional to 34,637 and 50,659

Step by Step Solution

1. Step 1: Write the proportion equation
   34,637 : 50,659 = 50,659 : x
2. Step 2: Convert to fraction form
   34,637/50,659 = 50,659/x
3. Step 3: Cross multiply
   34,637x = 50,659 × 50,659
4. Step 4: Simplify right side
   34,637x = 2,566,334,281
5. Step 5: Solve for x
   x = 2,566,334,281/34,637
6. Step 6: Final answer
   x = 74,092.28