Finding the Third Proportional to 31,789 and 44,464

Step by Step Solution

1. Step 1: Write the proportion equation
   31,789 : 44,464 = 44,464 : x
2. Step 2: Convert to fraction form
   31,789/44,464 = 44,464/x
3. Step 3: Cross multiply
   31,789x = 44,464 × 44,464
4. Step 4: Simplify right side
   31,789x = 1,977,047,296
5. Step 5: Solve for x
   x = 1,977,047,296/31,789
6. Step 6: Final answer
   x = 62,192.81