Finding the Third Proportional to 31,408 and 46,056

Step by Step Solution

1. Step 1: Write the proportion equation
   31,408 : 46,056 = 46,056 : x
2. Step 2: Convert to fraction form
   31,408/46,056 = 46,056/x
3. Step 3: Cross multiply
   31,408x = 46,056 × 46,056
4. Step 4: Simplify right side
   31,408x = 2,121,155,136
5. Step 5: Solve for x
   x = 2,121,155,136/31,408
6. Step 6: Final answer
   x = 67,535.50