Finding the Third Proportional to 31,752 and 69,084

Step by Step Solution

1. Step 1: Write the proportion equation
   31,752 : 69,084 = 69,084 : x
2. Step 2: Convert to fraction form
   31,752/69,084 = 69,084/x
3. Step 3: Cross multiply
   31,752x = 69,084 × 69,084
4. Step 4: Simplify right side
   31,752x = 4,772,599,056
5. Step 5: Solve for x
   x = 4,772,599,056/31,752
6. Step 6: Final answer
   x = 150,308.61