Finding the Third Proportional to 31,552 and 47,054

Step by Step Solution

1. Step 1: Write the proportion equation
   31,552 : 47,054 = 47,054 : x
2. Step 2: Convert to fraction form
   31,552/47,054 = 47,054/x
3. Step 3: Cross multiply
   31,552x = 47,054 × 47,054
4. Step 4: Simplify right side
   31,552x = 2,214,078,916
5. Step 5: Solve for x
   x = 2,214,078,916/31,552
6. Step 6: Final answer
   x = 70,172.38