Finding the Third Proportional to 21,174 and 45,534

Step by Step Solution

1. Step 1: Write the proportion equation
   21,174 : 45,534 = 45,534 : x
2. Step 2: Convert to fraction form
   21,174/45,534 = 45,534/x
3. Step 3: Cross multiply
   21,174x = 45,534 × 45,534
4. Step 4: Simplify right side
   21,174x = 2,073,345,156
5. Step 5: Solve for x
   x = 2,073,345,156/21,174
6. Step 6: Final answer
   x = 97,919.39