Finding the Third Proportional to 35,218.50 and 83,054.06

Step by Step Solution

1. Step 1: Write the proportion equation
   35,218.50 : 83,054.06 = 83,054.06 : x
2. Step 2: Convert to fraction form
   35,218.50/83,054.06 = 83,054.06/x
3. Step 3: Cross multiply
   35,218.50x = 83,054.06 × 83,054.06
4. Step 4: Simplify right side
   35,218.50x = 6,897,977,297.75
5. Step 5: Solve for x
   x = 6,897,977,297.75/35,218.50
6. Step 6: Final answer
   x = 195,862.33