Finding the Third Proportional to 33,030 and 51,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,030 : 51,772.50 = 51,772.50 : x
2. Step 2: Convert to fraction form
   33,030/51,772.50 = 51,772.50/x
3. Step 3: Cross multiply
   33,030x = 51,772.50 × 51,772.50
4. Step 4: Simplify right side
   33,030x = 2,680,391,756.25
5. Step 5: Solve for x
   x = 2,680,391,756.25/33,030
6. Step 6: Final answer
   x = 81,150.22