Finding the Third Proportional to 2,074 and 4,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074 : 4,802.50 = 4,802.50 : x
2. Step 2: Convert to fraction form
   2,074/4,802.50 = 4,802.50/x
3. Step 3: Cross multiply
   2,074x = 4,802.50 × 4,802.50
4. Step 4: Simplify right side
   2,074x = 23,064,006.25
5. Step 5: Solve for x
   x = 23,064,006.25/2,074
6. Step 6: Final answer
   x = 11,120.54