Finding the Third Proportional to 35,564.50 and 82,334.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,564.50 : 82,334.50 = 82,334.50 : x
2. Step 2: Convert to fraction form
   35,564.50/82,334.50 = 82,334.50/x
3. Step 3: Cross multiply
   35,564.50x = 82,334.50 × 82,334.50
4. Step 4: Simplify right side
   35,564.50x = 6,778,969,890.25
5. Step 5: Solve for x
   x = 6,778,969,890.25/35,564.50
6. Step 6: Final answer
   x = 190,610.58