Finding the Third Proportional to 31,752 and 42,150.38

Step by Step Solution

1. Step 1: Write the proportion equation
   31,752 : 42,150.38 = 42,150.38 : x
2. Step 2: Convert to fraction form
   31,752/42,150.38 = 42,150.38/x
3. Step 3: Cross multiply
   31,752x = 42,150.38 × 42,150.38
4. Step 4: Simplify right side
   31,752x = 1,776,654,112.64
5. Step 5: Solve for x
   x = 1,776,654,112.64/31,752
6. Step 6: Final answer
   x = 55,954.09