Finding the Third Proportional to 35,003 and 53,152

Step by Step Solution

1. Step 1: Write the proportion equation
   35,003 : 53,152 = 53,152 : x
2. Step 2: Convert to fraction form
   35,003/53,152 = 53,152/x
3. Step 3: Cross multiply
   35,003x = 53,152 × 53,152
4. Step 4: Simplify right side
   35,003x = 2,825,135,104
5. Step 5: Solve for x
   x = 2,825,135,104/35,003
6. Step 6: Final answer
   x = 80,711.23