Finding the Third Proportional to 30,499.50 and 48,699

Step by Step Solution

1. Step 1: Write the proportion equation
   30,499.50 : 48,699 = 48,699 : x
2. Step 2: Convert to fraction form
   30,499.50/48,699 = 48,699/x
3. Step 3: Cross multiply
   30,499.50x = 48,699 × 48,699
4. Step 4: Simplify right side
   30,499.50x = 2,371,592,601
5. Step 5: Solve for x
   x = 2,371,592,601/30,499.50
6. Step 6: Final answer
   x = 77,758.41