Finding the Third Proportional to 65,931.75 and 102,155.25

Step by Step Solution

1. Step 1: Write the proportion equation
   65,931.75 : 102,155.25 = 102,155.25 : x
2. Step 2: Convert to fraction form
   65,931.75/102,155.25 = 102,155.25/x
3. Step 3: Cross multiply
   65,931.75x = 102,155.25 × 102,155.25
4. Step 4: Simplify right side
   65,931.75x = 10,435,695,102.56
5. Step 5: Solve for x
   x = 10,435,695,102.56/65,931.75
6. Step 6: Final answer
   x = 158,280.27