Finding the Third Proportional to 75,480 and 102,150

Step by Step Solution

1. Step 1: Write the proportion equation
   75,480 : 102,150 = 102,150 : x
2. Step 2: Convert to fraction form
   75,480/102,150 = 102,150/x
3. Step 3: Cross multiply
   75,480x = 102,150 × 102,150
4. Step 4: Simplify right side
   75,480x = 10,434,622,500
5. Step 5: Solve for x
   x = 10,434,622,500/75,480
6. Step 6: Final answer
   x = 138,243.54