Finding the Third Proportional to 30,648 and 48,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,648 : 48,796.50 = 48,796.50 : x
2. Step 2: Convert to fraction form
   30,648/48,796.50 = 48,796.50/x
3. Step 3: Cross multiply
   30,648x = 48,796.50 × 48,796.50
4. Step 4: Simplify right side
   30,648x = 2,381,098,412.25
5. Step 5: Solve for x
   x = 2,381,098,412.25/30,648
6. Step 6: Final answer
   x = 77,691.80