Finding the Third Proportional to 32,008 and 69,848

Step by Step Solution

1. Step 1: Write the proportion equation
   32,008 : 69,848 = 69,848 : x
2. Step 2: Convert to fraction form
   32,008/69,848 = 69,848/x
3. Step 3: Cross multiply
   32,008x = 69,848 × 69,848
4. Step 4: Simplify right side
   32,008x = 4,878,743,104
5. Step 5: Solve for x
   x = 4,878,743,104/32,008
6. Step 6: Final answer
   x = 152,422.62