Finding the Third Proportional to 21,176 and 45,584

Step by Step Solution

1. Step 1: Write the proportion equation
   21,176 : 45,584 = 45,584 : x
2. Step 2: Convert to fraction form
   21,176/45,584 = 45,584/x
3. Step 3: Cross multiply
   21,176x = 45,584 × 45,584
4. Step 4: Simplify right side
   21,176x = 2,077,901,056
5. Step 5: Solve for x
   x = 2,077,901,056/21,176
6. Step 6: Final answer
   x = 98,125.29