Finding the Third Proportional to 48,016 and 75,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,016 : 75,970.50 = 75,970.50 : x
2. Step 2: Convert to fraction form
   48,016/75,970.50 = 75,970.50/x
3. Step 3: Cross multiply
   48,016x = 75,970.50 × 75,970.50
4. Step 4: Simplify right side
   48,016x = 5,771,516,870.25
5. Step 5: Solve for x
   x = 5,771,516,870.25/48,016
6. Step 6: Final answer
   x = 120,199.87