Finding the Third Proportional to 34,080.75 and 80,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,080.75 : 80,824.50 = 80,824.50 : x
2. Step 2: Convert to fraction form
   34,080.75/80,824.50 = 80,824.50/x
3. Step 3: Cross multiply
   34,080.75x = 80,824.50 × 80,824.50
4. Step 4: Simplify right side
   34,080.75x = 6,532,599,800.25
5. Step 5: Solve for x
   x = 6,532,599,800.25/34,080.75
6. Step 6: Final answer
   x = 191,680.05