Finding the Third Proportional to 14,817.75 and 34,978.88

Step by Step Solution

1. Step 1: Write the proportion equation
   14,817.75 : 34,978.88 = 34,978.88 : x
2. Step 2: Convert to fraction form
   14,817.75/34,978.88 = 34,978.88/x
3. Step 3: Cross multiply
   14,817.75x = 34,978.88 × 34,978.88
4. Step 4: Simplify right side
   14,817.75x = 1,223,521,696.27
5. Step 5: Solve for x
   x = 1,223,521,696.27/14,817.75
6. Step 6: Final answer
   x = 82,571.36