Finding the Third Proportional to 35,792 and 78,664

Step by Step Solution

1. Step 1: Write the proportion equation
   35,792 : 78,664 = 78,664 : x
2. Step 2: Convert to fraction form
   35,792/78,664 = 78,664/x
3. Step 3: Cross multiply
   35,792x = 78,664 × 78,664
4. Step 4: Simplify right side
   35,792x = 6,188,024,896
5. Step 5: Solve for x
   x = 6,188,024,896/35,792
6. Step 6: Final answer
   x = 172,888.49