Finding the Third Proportional to 33,583 and 45,447

Step by Step Solution

1. Step 1: Write the proportion equation
   33,583 : 45,447 = 45,447 : x
2. Step 2: Convert to fraction form
   33,583/45,447 = 45,447/x
3. Step 3: Cross multiply
   33,583x = 45,447 × 45,447
4. Step 4: Simplify right side
   33,583x = 2,065,429,809
5. Step 5: Solve for x
   x = 2,065,429,809/33,583
6. Step 6: Final answer
   x = 61,502.24