Finding the Third Proportional to 31,196 and 49,590

Step by Step Solution

1. Step 1: Write the proportion equation
   31,196 : 49,590 = 49,590 : x
2. Step 2: Convert to fraction form
   31,196/49,590 = 49,590/x
3. Step 3: Cross multiply
   31,196x = 49,590 × 49,590
4. Step 4: Simplify right side
   31,196x = 2,459,168,100
5. Step 5: Solve for x
   x = 2,459,168,100/31,196
6. Step 6: Final answer
   x = 78,829.60