Finding the Third Proportional to 31,130 and 46,584

Step by Step Solution

1. Step 1: Write the proportion equation
   31,130 : 46,584 = 46,584 : x
2. Step 2: Convert to fraction form
   31,130/46,584 = 46,584/x
3. Step 3: Cross multiply
   31,130x = 46,584 × 46,584
4. Step 4: Simplify right side
   31,130x = 2,170,069,056
5. Step 5: Solve for x
   x = 2,170,069,056/31,130
6. Step 6: Final answer
   x = 69,709.90