Finding the Third Proportional to 27,152 and 35,788

Step by Step Solution

1. Step 1: Write the proportion equation
   27,152 : 35,788 = 35,788 : x
2. Step 2: Convert to fraction form
   27,152/35,788 = 35,788/x
3. Step 3: Cross multiply
   27,152x = 35,788 × 35,788
4. Step 4: Simplify right side
   27,152x = 1,280,780,944
5. Step 5: Solve for x
   x = 1,280,780,944/27,152
6. Step 6: Final answer
   x = 47,170.78