Finding the Third Proportional to 31,798 and 37,654

Step by Step Solution

1. Step 1: Write the proportion equation
   31,798 : 37,654 = 37,654 : x
2. Step 2: Convert to fraction form
   31,798/37,654 = 37,654/x
3. Step 3: Cross multiply
   31,798x = 37,654 × 37,654
4. Step 4: Simplify right side
   31,798x = 1,417,823,716
5. Step 5: Solve for x
   x = 1,417,823,716/31,798
6. Step 6: Final answer
   x = 44,588.46