Finding the Third Proportional to 33,588 and 45,453

Step by Step Solution

1. Step 1: Write the proportion equation
   33,588 : 45,453 = 45,453 : x
2. Step 2: Convert to fraction form
   33,588/45,453 = 45,453/x
3. Step 3: Cross multiply
   33,588x = 45,453 × 45,453
4. Step 4: Simplify right side
   33,588x = 2,065,975,209
5. Step 5: Solve for x
   x = 2,065,975,209/33,588
6. Step 6: Final answer
   x = 61,509.33