Finding the Third Proportional to 47,017.50 and 102,609

Step by Step Solution

1. Step 1: Write the proportion equation
   47,017.50 : 102,609 = 102,609 : x
2. Step 2: Convert to fraction form
   47,017.50/102,609 = 102,609/x
3. Step 3: Cross multiply
   47,017.50x = 102,609 × 102,609
4. Step 4: Simplify right side
   47,017.50x = 10,528,606,881
5. Step 5: Solve for x
   x = 10,528,606,881/47,017.50
6. Step 6: Final answer
   x = 223,929.53