Finding the Third Proportional to 34,238 and 52,602

Step by Step Solution

1. Step 1: Write the proportion equation
   34,238 : 52,602 = 52,602 : x
2. Step 2: Convert to fraction form
   34,238/52,602 = 52,602/x
3. Step 3: Cross multiply
   34,238x = 52,602 × 52,602
4. Step 4: Simplify right side
   34,238x = 2,766,970,404
5. Step 5: Solve for x
   x = 2,766,970,404/34,238
6. Step 6: Final answer
   x = 80,815.77