Finding the Third Proportional to 32,093 and 69,827

Step by Step Solution

1. Step 1: Write the proportion equation
   32,093 : 69,827 = 69,827 : x
2. Step 2: Convert to fraction form
   32,093/69,827 = 69,827/x
3. Step 3: Cross multiply
   32,093x = 69,827 × 69,827
4. Step 4: Simplify right side
   32,093x = 4,875,809,929
5. Step 5: Solve for x
   x = 4,875,809,929/32,093
6. Step 6: Final answer
   x = 151,927.52