Finding the Third Proportional to 29,909.25 and 33,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,909.25 : 33,007.50 = 33,007.50 : x
2. Step 2: Convert to fraction form
   29,909.25/33,007.50 = 33,007.50/x
3. Step 3: Cross multiply
   29,909.25x = 33,007.50 × 33,007.50
4. Step 4: Simplify right side
   29,909.25x = 1,089,495,056.25
5. Step 5: Solve for x
   x = 1,089,495,056.25/29,909.25
6. Step 6: Final answer
   x = 36,426.69