Finding the Third Proportional to 47,005.31 and 100,564.03

Step by Step Solution

1. Step 1: Write the proportion equation
   47,005.31 : 100,564.03 = 100,564.03 : x
2. Step 2: Convert to fraction form
   47,005.31/100,564.03 = 100,564.03/x
3. Step 3: Cross multiply
   47,005.31x = 100,564.03 × 100,564.03
4. Step 4: Simplify right side
   47,005.31x = 10,113,124,381.25
5. Step 5: Solve for x
   x = 10,113,124,381.25/47,005.31
6. Step 6: Final answer
   x = 215,148.54