Finding the Third Proportional to 33,920 and 45,696

Step by Step Solution

1. Step 1: Write the proportion equation
   33,920 : 45,696 = 45,696 : x
2. Step 2: Convert to fraction form
   33,920/45,696 = 45,696/x
3. Step 3: Cross multiply
   33,920x = 45,696 × 45,696
4. Step 4: Simplify right side
   33,920x = 2,088,124,416
5. Step 5: Solve for x
   x = 2,088,124,416/33,920
6. Step 6: Final answer
   x = 61,560.27