Finding the Third Proportional to 29,888 and 65,152

Step by Step Solution

1. Step 1: Write the proportion equation
   29,888 : 65,152 = 65,152 : x
2. Step 2: Convert to fraction form
   29,888/65,152 = 65,152/x
3. Step 3: Cross multiply
   29,888x = 65,152 × 65,152
4. Step 4: Simplify right side
   29,888x = 4,244,783,104
5. Step 5: Solve for x
   x = 4,244,783,104/29,888
6. Step 6: Final answer
   x = 142,022.99