Finding the Third Proportional to 35,888.06 and 83,823.61

Step by Step Solution

1. Step 1: Write the proportion equation
   35,888.06 : 83,823.61 = 83,823.61 : x
2. Step 2: Convert to fraction form
   35,888.06/83,823.61 = 83,823.61/x
3. Step 3: Cross multiply
   35,888.06x = 83,823.61 × 83,823.61
4. Step 4: Simplify right side
   35,888.06x = 7,026,397,488.65
5. Step 5: Solve for x
   x = 7,026,397,488.65/35,888.06
6. Step 6: Final answer
   x = 195,786.48