Finding the Third Proportional to 49,747.50 and 102,411

Step by Step Solution

1. Step 1: Write the proportion equation
   49,747.50 : 102,411 = 102,411 : x
2. Step 2: Convert to fraction form
   49,747.50/102,411 = 102,411/x
3. Step 3: Cross multiply
   49,747.50x = 102,411 × 102,411
4. Step 4: Simplify right side
   49,747.50x = 10,488,012,921
5. Step 5: Solve for x
   x = 10,488,012,921/49,747.50
6. Step 6: Final answer
   x = 210,824.92