Finding the Third Proportional to 7,820 and 17,053

Step by Step Solution

1. Step 1: Write the proportion equation
   7,820 : 17,053 = 17,053 : x
2. Step 2: Convert to fraction form
   7,820/17,053 = 17,053/x
3. Step 3: Cross multiply
   7,820x = 17,053 × 17,053
4. Step 4: Simplify right side
   7,820x = 290,804,809
5. Step 5: Solve for x
   x = 290,804,809/7,820
6. Step 6: Final answer
   x = 37,187.32