Finding the Third Proportional to 34,851 and 82,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,851 : 82,807.50 = 82,807.50 : x
2. Step 2: Convert to fraction form
   34,851/82,807.50 = 82,807.50/x
3. Step 3: Cross multiply
   34,851x = 82,807.50 × 82,807.50
4. Step 4: Simplify right side
   34,851x = 6,857,082,056.25
5. Step 5: Solve for x
   x = 6,857,082,056.25/34,851
6. Step 6: Final answer
   x = 196,754.24