Finding the Third Proportional to 32,141 and 69,221

Step by Step Solution

1. Step 1: Write the proportion equation
   32,141 : 69,221 = 69,221 : x
2. Step 2: Convert to fraction form
   32,141/69,221 = 69,221/x
3. Step 3: Cross multiply
   32,141x = 69,221 × 69,221
4. Step 4: Simplify right side
   32,141x = 4,791,546,841
5. Step 5: Solve for x
   x = 4,791,546,841/32,141
6. Step 6: Final answer
   x = 149,078.96