Finding the Third Proportional to 32,505 and 69,846

Step by Step Solution

1. Step 1: Write the proportion equation
   32,505 : 69,846 = 69,846 : x
2. Step 2: Convert to fraction form
   32,505/69,846 = 69,846/x
3. Step 3: Cross multiply
   32,505x = 69,846 × 69,846
4. Step 4: Simplify right side
   32,505x = 4,878,463,716
5. Step 5: Solve for x
   x = 4,878,463,716/32,505
6. Step 6: Final answer
   x = 150,083.49