Finding the Third Proportional to 31,644 and 45,522

Step by Step Solution

1. Step 1: Write the proportion equation
   31,644 : 45,522 = 45,522 : x
2. Step 2: Convert to fraction form
   31,644/45,522 = 45,522/x
3. Step 3: Cross multiply
   31,644x = 45,522 × 45,522
4. Step 4: Simplify right side
   31,644x = 2,072,252,484
5. Step 5: Solve for x
   x = 2,072,252,484/31,644
6. Step 6: Final answer
   x = 65,486.43