Finding the Third Proportional to 47,730 and 72,852

Step by Step Solution

1. Step 1: Write the proportion equation
   47,730 : 72,852 = 72,852 : x
2. Step 2: Convert to fraction form
   47,730/72,852 = 72,852/x
3. Step 3: Cross multiply
   47,730x = 72,852 × 72,852
4. Step 4: Simplify right side
   47,730x = 5,307,413,904
5. Step 5: Solve for x
   x = 5,307,413,904/47,730
6. Step 6: Final answer
   x = 111,196.60