Finding the Third Proportional to 12,740.25 and 29,978

Step by Step Solution

1. Step 1: Write the proportion equation
   12,740.25 : 29,978 = 29,978 : x
2. Step 2: Convert to fraction form
   12,740.25/29,978 = 29,978/x
3. Step 3: Cross multiply
   12,740.25x = 29,978 × 29,978
4. Step 4: Simplify right side
   12,740.25x = 898,680,484
5. Step 5: Solve for x
   x = 898,680,484/12,740.25
6. Step 6: Final answer
   x = 70,538.69