Finding the Third Proportional to 31,176 and 46,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,176 : 46,513.50 = 46,513.50 : x
2. Step 2: Convert to fraction form
   31,176/46,513.50 = 46,513.50/x
3. Step 3: Cross multiply
   31,176x = 46,513.50 × 46,513.50
4. Step 4: Simplify right side
   31,176x = 2,163,505,682.25
5. Step 5: Solve for x
   x = 2,163,505,682.25/31,176
6. Step 6: Final answer
   x = 69,396.51