Finding the Third Proportional to 31,899 and 65,094

Step by Step Solution

1. Step 1: Write the proportion equation
   31,899 : 65,094 = 65,094 : x
2. Step 2: Convert to fraction form
   31,899/65,094 = 65,094/x
3. Step 3: Cross multiply
   31,899x = 65,094 × 65,094
4. Step 4: Simplify right side
   31,899x = 4,237,228,836
5. Step 5: Solve for x
   x = 4,237,228,836/31,899
6. Step 6: Final answer
   x = 132,832.65