Finding the Third Proportional to 37,584 and 88,884

Step by Step Solution

1. Step 1: Write the proportion equation
   37,584 : 88,884 = 88,884 : x
2. Step 2: Convert to fraction form
   37,584/88,884 = 88,884/x
3. Step 3: Cross multiply
   37,584x = 88,884 × 88,884
4. Step 4: Simplify right side
   37,584x = 7,900,365,456
5. Step 5: Solve for x
   x = 7,900,365,456/37,584
6. Step 6: Final answer
   x = 210,205.55