Finding the Third Proportional to 32,141 and 65,848

Step by Step Solution

1. Step 1: Write the proportion equation
   32,141 : 65,848 = 65,848 : x
2. Step 2: Convert to fraction form
   32,141/65,848 = 65,848/x
3. Step 3: Cross multiply
   32,141x = 65,848 × 65,848
4. Step 4: Simplify right side
   32,141x = 4,335,959,104
5. Step 5: Solve for x
   x = 4,335,959,104/32,141
6. Step 6: Final answer
   x = 134,904.30