Finding the Third Proportional to 65,909.75 and 102,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,909.75 : 102,141.50 = 102,141.50 : x
2. Step 2: Convert to fraction form
   65,909.75/102,141.50 = 102,141.50/x
3. Step 3: Cross multiply
   65,909.75x = 102,141.50 × 102,141.50
4. Step 4: Simplify right side
   65,909.75x = 10,432,886,022.25
5. Step 5: Solve for x
   x = 10,432,886,022.25/65,909.75
6. Step 6: Final answer
   x = 158,290.48