Finding the Third Proportional to 33,948 and 72,810

Step by Step Solution

1. Step 1: Write the proportion equation
   33,948 : 72,810 = 72,810 : x
2. Step 2: Convert to fraction form
   33,948/72,810 = 72,810/x
3. Step 3: Cross multiply
   33,948x = 72,810 × 72,810
4. Step 4: Simplify right side
   33,948x = 5,301,296,100
5. Step 5: Solve for x
   x = 5,301,296,100/33,948
6. Step 6: Final answer
   x = 156,159.31