Finding the Third Proportional to 34,663.50 and 80,871.75

Step by Step Solution

1. Step 1: Write the proportion equation
   34,663.50 : 80,871.75 = 80,871.75 : x
2. Step 2: Convert to fraction form
   34,663.50/80,871.75 = 80,871.75/x
3. Step 3: Cross multiply
   34,663.50x = 80,871.75 × 80,871.75
4. Step 4: Simplify right side
   34,663.50x = 6,540,239,948.06
5. Step 5: Solve for x
   x = 6,540,239,948.06/34,663.50
6. Step 6: Final answer
   x = 188,678.00