Finding the Third Proportional to 34,814 and 86,576

Step by Step Solution

1. Step 1: Write the proportion equation
   34,814 : 86,576 = 86,576 : x
2. Step 2: Convert to fraction form
   34,814/86,576 = 86,576/x
3. Step 3: Cross multiply
   34,814x = 86,576 × 86,576
4. Step 4: Simplify right side
   34,814x = 7,495,403,776
5. Step 5: Solve for x
   x = 7,495,403,776/34,814
6. Step 6: Final answer
   x = 215,298.55