Finding the Third Proportional to 63,724 and 89,124

Step by Step Solution

1. Step 1: Write the proportion equation
   63,724 : 89,124 = 89,124 : x
2. Step 2: Convert to fraction form
   63,724/89,124 = 89,124/x
3. Step 3: Cross multiply
   63,724x = 89,124 × 89,124
4. Step 4: Simplify right side
   63,724x = 7,943,087,376
5. Step 5: Solve for x
   x = 7,943,087,376/63,724
6. Step 6: Final answer
   x = 124,648.29