Finding the Third Proportional to 48,493.50 and 75,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,493.50 : 75,262.50 = 75,262.50 : x
2. Step 2: Convert to fraction form
   48,493.50/75,262.50 = 75,262.50/x
3. Step 3: Cross multiply
   48,493.50x = 75,262.50 × 75,262.50
4. Step 4: Simplify right side
   48,493.50x = 5,664,443,906.25
5. Step 5: Solve for x
   x = 5,664,443,906.25/48,493.50
6. Step 6: Final answer
   x = 116,808.31