Finding the Third Proportional to 19,174 and 45,748

Step by Step Solution

1. Step 1: Write the proportion equation
   19,174 : 45,748 = 45,748 : x
2. Step 2: Convert to fraction form
   19,174/45,748 = 45,748/x
3. Step 3: Cross multiply
   19,174x = 45,748 × 45,748
4. Step 4: Simplify right side
   19,174x = 2,092,879,504
5. Step 5: Solve for x
   x = 2,092,879,504/19,174
6. Step 6: Final answer
   x = 109,151.95