Finding the Third Proportional to 72,664 and 102,828

Step by Step Solution

1. Step 1: Write the proportion equation
   72,664 : 102,828 = 102,828 : x
2. Step 2: Convert to fraction form
   72,664/102,828 = 102,828/x
3. Step 3: Cross multiply
   72,664x = 102,828 × 102,828
4. Step 4: Simplify right side
   72,664x = 10,573,597,584
5. Step 5: Solve for x
   x = 10,573,597,584/72,664
6. Step 6: Final answer
   x = 145,513.56