Finding the Third Proportional to 35,536 and 52,152

Step by Step Solution

1. Step 1: Write the proportion equation
   35,536 : 52,152 = 52,152 : x
2. Step 2: Convert to fraction form
   35,536/52,152 = 52,152/x
3. Step 3: Cross multiply
   35,536x = 52,152 × 52,152
4. Step 4: Simplify right side
   35,536x = 2,719,831,104
5. Step 5: Solve for x
   x = 2,719,831,104/35,536
6. Step 6: Final answer
   x = 76,537.35