Finding the Third Proportional to 19,665 and 29,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,665 : 29,947.50 = 29,947.50 : x
2. Step 2: Convert to fraction form
   19,665/29,947.50 = 29,947.50/x
3. Step 3: Cross multiply
   19,665x = 29,947.50 × 29,947.50
4. Step 4: Simplify right side
   19,665x = 896,852,756.25
5. Step 5: Solve for x
   x = 896,852,756.25/19,665
6. Step 6: Final answer
   x = 45,606.55