Finding the Third Proportional to 65,802.50 and 105,971

Step by Step Solution

1. Step 1: Write the proportion equation
   65,802.50 : 105,971 = 105,971 : x
2. Step 2: Convert to fraction form
   65,802.50/105,971 = 105,971/x
3. Step 3: Cross multiply
   65,802.50x = 105,971 × 105,971
4. Step 4: Simplify right side
   65,802.50x = 11,229,852,841
5. Step 5: Solve for x
   x = 11,229,852,841/65,802.50
6. Step 6: Final answer
   x = 170,659.97