Finding the Third Proportional to 35,185 and 52,602

Step by Step Solution

1. Step 1: Write the proportion equation
   35,185 : 52,602 = 52,602 : x
2. Step 2: Convert to fraction form
   35,185/52,602 = 52,602/x
3. Step 3: Cross multiply
   35,185x = 52,602 × 52,602
4. Step 4: Simplify right side
   35,185x = 2,766,970,404
5. Step 5: Solve for x
   x = 2,766,970,404/35,185
6. Step 6: Final answer
   x = 78,640.63