Finding the Third Proportional to 32,460 and 69,852

Step by Step Solution

1. Step 1: Write the proportion equation
   32,460 : 69,852 = 69,852 : x
2. Step 2: Convert to fraction form
   32,460/69,852 = 69,852/x
3. Step 3: Cross multiply
   32,460x = 69,852 × 69,852
4. Step 4: Simplify right side
   32,460x = 4,879,301,904
5. Step 5: Solve for x
   x = 4,879,301,904/32,460
6. Step 6: Final answer
   x = 150,317.37