Finding the Third Proportional to 14,970 and 21,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,970 : 21,796.50 = 21,796.50 : x
2. Step 2: Convert to fraction form
   14,970/21,796.50 = 21,796.50/x
3. Step 3: Cross multiply
   14,970x = 21,796.50 × 21,796.50
4. Step 4: Simplify right side
   14,970x = 475,087,412.25
5. Step 5: Solve for x
   x = 475,087,412.25/14,970
6. Step 6: Final answer
   x = 31,735.97