Finding the Third Proportional to 15,429 and 37,188

Step by Step Solution

1. Step 1: Write the proportion equation
   15,429 : 37,188 = 37,188 : x
2. Step 2: Convert to fraction form
   15,429/37,188 = 37,188/x
3. Step 3: Cross multiply
   15,429x = 37,188 × 37,188
4. Step 4: Simplify right side
   15,429x = 1,382,947,344
5. Step 5: Solve for x
   x = 1,382,947,344/15,429
6. Step 6: Final answer
   x = 89,632.99