Finding the Third Proportional to 15,663 and 32,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,663 : 32,965.50 = 32,965.50 : x
2. Step 2: Convert to fraction form
   15,663/32,965.50 = 32,965.50/x
3. Step 3: Cross multiply
   15,663x = 32,965.50 × 32,965.50
4. Step 4: Simplify right side
   15,663x = 1,086,724,190.25
5. Step 5: Solve for x
   x = 1,086,724,190.25/15,663
6. Step 6: Final answer
   x = 69,381.61