Finding the Third Proportional to 35,815.50 and 78,192

Step by Step Solution

1. Step 1: Write the proportion equation
   35,815.50 : 78,192 = 78,192 : x
2. Step 2: Convert to fraction form
   35,815.50/78,192 = 78,192/x
3. Step 3: Cross multiply
   35,815.50x = 78,192 × 78,192
4. Step 4: Simplify right side
   35,815.50x = 6,113,988,864
5. Step 5: Solve for x
   x = 6,113,988,864/35,815.50
6. Step 6: Final answer
   x = 170,707.90