Finding the Third Proportional to 5,376,564 and 8,517,663

Step by Step Solution

1. Step 1: Write the proportion equation
   5,376,564 : 8,517,663 = 8,517,663 : x
2. Step 2: Convert to fraction form
   5,376,564/8,517,663 = 8,517,663/x
3. Step 3: Cross multiply
   5,376,564x = 8,517,663 × 8,517,663
4. Step 4: Simplify right side
   5,376,564x = 72,550,582,981,569
5. Step 5: Solve for x
   x = 72,550,582,981,569/5,376,564
6. Step 6: Final answer
   x = 13,493,856.48