Finding the Third Proportional to 35,714.25 and 84,611.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,714.25 : 84,611.25 = 84,611.25 : x
2. Step 2: Convert to fraction form
   35,714.25/84,611.25 = 84,611.25/x
3. Step 3: Cross multiply
   35,714.25x = 84,611.25 × 84,611.25
4. Step 4: Simplify right side
   35,714.25x = 7,159,063,626.56
5. Step 5: Solve for x
   x = 7,159,063,626.56/35,714.25
6. Step 6: Final answer
   x = 200,453.98