Finding the Third Proportional to 14,706 and 34,688.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,706 : 34,688.25 = 34,688.25 : x
2. Step 2: Convert to fraction form
   14,706/34,688.25 = 34,688.25/x
3. Step 3: Cross multiply
   14,706x = 34,688.25 × 34,688.25
4. Step 4: Simplify right side
   14,706x = 1,203,274,688.06
5. Step 5: Solve for x
   x = 1,203,274,688.06/14,706
6. Step 6: Final answer
   x = 81,822.02