Finding the Third Proportional to 31,536 and 46,856.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,536 : 46,856.25 = 46,856.25 : x
2. Step 2: Convert to fraction form
   31,536/46,856.25 = 46,856.25/x
3. Step 3: Cross multiply
   31,536x = 46,856.25 × 46,856.25
4. Step 4: Simplify right side
   31,536x = 2,195,508,164.06
5. Step 5: Solve for x
   x = 2,195,508,164.06/31,536
6. Step 6: Final answer
   x = 69,619.11