Finding the Third Proportional to 13,880 and 29,978

Step by Step Solution

1. Step 1: Write the proportion equation
   13,880 : 29,978 = 29,978 : x
2. Step 2: Convert to fraction form
   13,880/29,978 = 29,978/x
3. Step 3: Cross multiply
   13,880x = 29,978 × 29,978
4. Step 4: Simplify right side
   13,880x = 898,680,484
5. Step 5: Solve for x
   x = 898,680,484/13,880
6. Step 6: Final answer
   x = 64,746.43