Finding the Third Proportional to 32,410 and 69,878

Step by Step Solution

1. Step 1: Write the proportion equation
   32,410 : 69,878 = 69,878 : x
2. Step 2: Convert to fraction form
   32,410/69,878 = 69,878/x
3. Step 3: Cross multiply
   32,410x = 69,878 × 69,878
4. Step 4: Simplify right side
   32,410x = 4,882,934,884
5. Step 5: Solve for x
   x = 4,882,934,884/32,410
6. Step 6: Final answer
   x = 150,661.37