Finding the Third Proportional to 78,025.75 and 102,016

Step by Step Solution

1. Step 1: Write the proportion equation
   78,025.75 : 102,016 = 102,016 : x
2. Step 2: Convert to fraction form
   78,025.75/102,016 = 102,016/x
3. Step 3: Cross multiply
   78,025.75x = 102,016 × 102,016
4. Step 4: Simplify right side
   78,025.75x = 10,407,264,256
5. Step 5: Solve for x
   x = 10,407,264,256/78,025.75
6. Step 6: Final answer
   x = 133,382.43