Finding the Third Proportional to 15,820 and 34,090

Step by Step Solution

1. Step 1: Write the proportion equation
   15,820 : 34,090 = 34,090 : x
2. Step 2: Convert to fraction form
   15,820/34,090 = 34,090/x
3. Step 3: Cross multiply
   15,820x = 34,090 × 34,090
4. Step 4: Simplify right side
   15,820x = 1,162,128,100
5. Step 5: Solve for x
   x = 1,162,128,100/15,820
6. Step 6: Final answer
   x = 73,459.42