Finding the Third Proportional to 35,131 and 51,382

Step by Step Solution

1. Step 1: Write the proportion equation
   35,131 : 51,382 = 51,382 : x
2. Step 2: Convert to fraction form
   35,131/51,382 = 51,382/x
3. Step 3: Cross multiply
   35,131x = 51,382 × 51,382
4. Step 4: Simplify right side
   35,131x = 2,640,109,924
5. Step 5: Solve for x
   x = 2,640,109,924/35,131
6. Step 6: Final answer
   x = 75,150.43