Finding the Third Proportional to 35,838 and 76,957.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,838 : 76,957.50 = 76,957.50 : x
2. Step 2: Convert to fraction form
   35,838/76,957.50 = 76,957.50/x
3. Step 3: Cross multiply
   35,838x = 76,957.50 × 76,957.50
4. Step 4: Simplify right side
   35,838x = 5,922,456,806.25
5. Step 5: Solve for x
   x = 5,922,456,806.25/35,838
6. Step 6: Final answer
   x = 165,256.34