Finding the Third Proportional to 32,629 and 71,251

Step by Step Solution

1. Step 1: Write the proportion equation
   32,629 : 71,251 = 71,251 : x
2. Step 2: Convert to fraction form
   32,629/71,251 = 71,251/x
3. Step 3: Cross multiply
   32,629x = 71,251 × 71,251
4. Step 4: Simplify right side
   32,629x = 5,076,705,001
5. Step 5: Solve for x
   x = 5,076,705,001/32,629
6. Step 6: Final answer
   x = 155,588.74