Finding the Third Proportional to 35,890.88 and 83,828.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,890.88 : 83,828.25 = 83,828.25 : x
2. Step 2: Convert to fraction form
   35,890.88/83,828.25 = 83,828.25/x
3. Step 3: Cross multiply
   35,890.88x = 83,828.25 × 83,828.25
4. Step 4: Simplify right side
   35,890.88x = 7,027,175,498.06
5. Step 5: Solve for x
   x = 7,027,175,498.06/35,890.88
6. Step 6: Final answer
   x = 195,792.82