Finding the Third Proportional to 47,038.50 and 100,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,038.50 : 100,633.50 = 100,633.50 : x
2. Step 2: Convert to fraction form
   47,038.50/100,633.50 = 100,633.50/x
3. Step 3: Cross multiply
   47,038.50x = 100,633.50 × 100,633.50
4. Step 4: Simplify right side
   47,038.50x = 10,127,101,322.25
5. Step 5: Solve for x
   x = 10,127,101,322.25/47,038.50
6. Step 6: Final answer
   x = 215,293.88