Finding the Third Proportional to 22,969 and 34,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,969 : 34,633.50 = 34,633.50 : x
2. Step 2: Convert to fraction form
   22,969/34,633.50 = 34,633.50/x
3. Step 3: Cross multiply
   22,969x = 34,633.50 × 34,633.50
4. Step 4: Simplify right side
   22,969x = 1,199,479,322.25
5. Step 5: Solve for x
   x = 1,199,479,322.25/22,969
6. Step 6: Final answer
   x = 52,221.66