Finding the Third Proportional to 47,538 and 75,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,538 : 75,262.50 = 75,262.50 : x
2. Step 2: Convert to fraction form
   47,538/75,262.50 = 75,262.50/x
3. Step 3: Cross multiply
   47,538x = 75,262.50 × 75,262.50
4. Step 4: Simplify right side
   47,538x = 5,664,443,906.25
5. Step 5: Solve for x
   x = 5,664,443,906.25/47,538
6. Step 6: Final answer
   x = 119,156.13