Finding the Third Proportional to 15,962 and 35,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,962 : 35,186.50 = 35,186.50 : x
2. Step 2: Convert to fraction form
   15,962/35,186.50 = 35,186.50/x
3. Step 3: Cross multiply
   15,962x = 35,186.50 × 35,186.50
4. Step 4: Simplify right side
   15,962x = 1,238,089,782.25
5. Step 5: Solve for x
   x = 1,238,089,782.25/15,962
6. Step 6: Final answer
   x = 77,564.83