Finding the Third Proportional to 34,585 and 55,056

Step by Step Solution

1. Step 1: Write the proportion equation
   34,585 : 55,056 = 55,056 : x
2. Step 2: Convert to fraction form
   34,585/55,056 = 55,056/x
3. Step 3: Cross multiply
   34,585x = 55,056 × 55,056
4. Step 4: Simplify right side
   34,585x = 3,031,163,136
5. Step 5: Solve for x
   x = 3,031,163,136/34,585
6. Step 6: Final answer
   x = 87,643.87