Finding the Third Proportional to 32,032 and 68,986

Step by Step Solution

1. Step 1: Write the proportion equation
   32,032 : 68,986 = 68,986 : x
2. Step 2: Convert to fraction form
   32,032/68,986 = 68,986/x
3. Step 3: Cross multiply
   32,032x = 68,986 × 68,986
4. Step 4: Simplify right side
   32,032x = 4,759,068,196
5. Step 5: Solve for x
   x = 4,759,068,196/32,032
6. Step 6: Final answer
   x = 148,572.31