Finding the Third Proportional to 50,319 and 64,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,319 : 64,534.50 = 64,534.50 : x
2. Step 2: Convert to fraction form
   50,319/64,534.50 = 64,534.50/x
3. Step 3: Cross multiply
   50,319x = 64,534.50 × 64,534.50
4. Step 4: Simplify right side
   50,319x = 4,164,701,690.25
5. Step 5: Solve for x
   x = 4,164,701,690.25/50,319
6. Step 6: Final answer
   x = 82,765.99