Finding the Third Proportional to 20,820 and 45,094

Step by Step Solution

1. Step 1: Write the proportion equation
   20,820 : 45,094 = 45,094 : x
2. Step 2: Convert to fraction form
   20,820/45,094 = 45,094/x
3. Step 3: Cross multiply
   20,820x = 45,094 × 45,094
4. Step 4: Simplify right side
   20,820x = 2,033,468,836
5. Step 5: Solve for x
   x = 2,033,468,836/20,820
6. Step 6: Final answer
   x = 97,669.01