Finding the Third Proportional to 31,813 and 46,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,813 : 46,624.50 = 46,624.50 : x
2. Step 2: Convert to fraction form
   31,813/46,624.50 = 46,624.50/x
3. Step 3: Cross multiply
   31,813x = 46,624.50 × 46,624.50
4. Step 4: Simplify right side
   31,813x = 2,173,844,000.25
5. Step 5: Solve for x
   x = 2,173,844,000.25/31,813
6. Step 6: Final answer
   x = 68,331.94