Finding the Third Proportional to 30,796.50 and 47,124

Step by Step Solution

1. Step 1: Write the proportion equation
   30,796.50 : 47,124 = 47,124 : x
2. Step 2: Convert to fraction form
   30,796.50/47,124 = 47,124/x
3. Step 3: Cross multiply
   30,796.50x = 47,124 × 47,124
4. Step 4: Simplify right side
   30,796.50x = 2,220,671,376
5. Step 5: Solve for x
   x = 2,220,671,376/30,796.50
6. Step 6: Final answer
   x = 72,107.91