Finding the Third Proportional to 31,752 and 74,844

Step by Step Solution

1. Step 1: Write the proportion equation
   31,752 : 74,844 = 74,844 : x
2. Step 2: Convert to fraction form
   31,752/74,844 = 74,844/x
3. Step 3: Cross multiply
   31,752x = 74,844 × 74,844
4. Step 4: Simplify right side
   31,752x = 5,601,624,336
5. Step 5: Solve for x
   x = 5,601,624,336/31,752
6. Step 6: Final answer
   x = 176,418