Finding the Third Proportional to 65,749.50 and 106,820.25

Step by Step Solution

1. Step 1: Write the proportion equation
   65,749.50 : 106,820.25 = 106,820.25 : x
2. Step 2: Convert to fraction form
   65,749.50/106,820.25 = 106,820.25/x
3. Step 3: Cross multiply
   65,749.50x = 106,820.25 × 106,820.25
4. Step 4: Simplify right side
   65,749.50x = 11,410,565,810.06
5. Step 5: Solve for x
   x = 11,410,565,810.06/65,749.50
6. Step 6: Final answer
   x = 173,546.05