Finding the Third Proportional to 32,029 and 51,167

Step by Step Solution

1. Step 1: Write the proportion equation
   32,029 : 51,167 = 51,167 : x
2. Step 2: Convert to fraction form
   32,029/51,167 = 51,167/x
3. Step 3: Cross multiply
   32,029x = 51,167 × 51,167
4. Step 4: Simplify right side
   32,029x = 2,618,061,889
5. Step 5: Solve for x
   x = 2,618,061,889/32,029
6. Step 6: Final answer
   x = 81,740.36