Finding the Third Proportional to 66,644 and 103,152

Step by Step Solution

1. Step 1: Write the proportion equation
   66,644 : 103,152 = 103,152 : x
2. Step 2: Convert to fraction form
   66,644/103,152 = 103,152/x
3. Step 3: Cross multiply
   66,644x = 103,152 × 103,152
4. Step 4: Simplify right side
   66,644x = 10,640,335,104
5. Step 5: Solve for x
   x = 10,640,335,104/66,644
6. Step 6: Final answer
   x = 159,659.31