Finding the Third Proportional to 33,509 and 45,509

Step by Step Solution

1. Step 1: Write the proportion equation
   33,509 : 45,509 = 45,509 : x
2. Step 2: Convert to fraction form
   33,509/45,509 = 45,509/x
3. Step 3: Cross multiply
   33,509x = 45,509 × 45,509
4. Step 4: Simplify right side
   33,509x = 2,071,069,081
5. Step 5: Solve for x
   x = 2,071,069,081/33,509
6. Step 6: Final answer
   x = 61,806.35