Finding the Third Proportional to 35,736.19 and 83,085.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,736.19 : 83,085.75 = 83,085.75 : x
2. Step 2: Convert to fraction form
   35,736.19/83,085.75 = 83,085.75/x
3. Step 3: Cross multiply
   35,736.19x = 83,085.75 × 83,085.75
4. Step 4: Simplify right side
   35,736.19x = 6,903,241,853.06
5. Step 5: Solve for x
   x = 6,903,241,853.06/35,736.19
6. Step 6: Final answer
   x = 193,172.31