Finding the Third Proportional to 47,639.50 and 101,606

Step by Step Solution

1. Step 1: Write the proportion equation
   47,639.50 : 101,606 = 101,606 : x
2. Step 2: Convert to fraction form
   47,639.50/101,606 = 101,606/x
3. Step 3: Cross multiply
   47,639.50x = 101,606 × 101,606
4. Step 4: Simplify right side
   47,639.50x = 10,323,779,236
5. Step 5: Solve for x
   x = 10,323,779,236/47,639.50
6. Step 6: Final answer
   x = 216,706.29