Finding the Third Proportional to 19,164 and 37,248

Step by Step Solution

1. Step 1: Write the proportion equation
   19,164 : 37,248 = 37,248 : x
2. Step 2: Convert to fraction form
   19,164/37,248 = 37,248/x
3. Step 3: Cross multiply
   19,164x = 37,248 × 37,248
4. Step 4: Simplify right side
   19,164x = 1,387,413,504
5. Step 5: Solve for x
   x = 1,387,413,504/19,164
6. Step 6: Final answer
   x = 72,396.86