Finding the Third Proportional to 33,790.50 and 53,007

Step by Step Solution

1. Step 1: Write the proportion equation
   33,790.50 : 53,007 = 53,007 : x
2. Step 2: Convert to fraction form
   33,790.50/53,007 = 53,007/x
3. Step 3: Cross multiply
   33,790.50x = 53,007 × 53,007
4. Step 4: Simplify right side
   33,790.50x = 2,809,742,049
5. Step 5: Solve for x
   x = 2,809,742,049/33,790.50
6. Step 6: Final answer
   x = 83,151.83