Finding the Third Proportional to 45,648 and 61,056

Step by Step Solution

1. Step 1: Write the proportion equation
   45,648 : 61,056 = 61,056 : x
2. Step 2: Convert to fraction form
   45,648/61,056 = 61,056/x
3. Step 3: Cross multiply
   45,648x = 61,056 × 61,056
4. Step 4: Simplify right side
   45,648x = 3,727,835,136
5. Step 5: Solve for x
   x = 3,727,835,136/45,648
6. Step 6: Final answer
   x = 81,664.81