Finding the Third Proportional to 34,188 and 52,518

Step by Step Solution

1. Step 1: Write the proportion equation
   34,188 : 52,518 = 52,518 : x
2. Step 2: Convert to fraction form
   34,188/52,518 = 52,518/x
3. Step 3: Cross multiply
   34,188x = 52,518 × 52,518
4. Step 4: Simplify right side
   34,188x = 2,758,140,324
5. Step 5: Solve for x
   x = 2,758,140,324/34,188
6. Step 6: Final answer
   x = 80,675.69