Finding the Third Proportional to 35,835.75 and 83,683.13

Step by Step Solution

1. Step 1: Write the proportion equation
   35,835.75 : 83,683.13 = 83,683.13 : x
2. Step 2: Convert to fraction form
   35,835.75/83,683.13 = 83,683.13/x
3. Step 3: Cross multiply
   35,835.75x = 83,683.13 × 83,683.13
4. Step 4: Simplify right side
   35,835.75x = 7,002,865,409.77
5. Step 5: Solve for x
   x = 7,002,865,409.77/35,835.75
6. Step 6: Final answer
   x = 195,415.62