Finding the Third Proportional to 15,820 and 37,294

Step by Step Solution

1. Step 1: Write the proportion equation
   15,820 : 37,294 = 37,294 : x
2. Step 2: Convert to fraction form
   15,820/37,294 = 37,294/x
3. Step 3: Cross multiply
   15,820x = 37,294 × 37,294
4. Step 4: Simplify right side
   15,820x = 1,390,842,436
5. Step 5: Solve for x
   x = 1,390,842,436/15,820
6. Step 6: Final answer
   x = 87,916.72