Finding the Third Proportional to 33,663 and 72,898

Step by Step Solution

1. Step 1: Write the proportion equation
   33,663 : 72,898 = 72,898 : x
2. Step 2: Convert to fraction form
   33,663/72,898 = 72,898/x
3. Step 3: Cross multiply
   33,663x = 72,898 × 72,898
4. Step 4: Simplify right side
   33,663x = 5,314,118,404
5. Step 5: Solve for x
   x = 5,314,118,404/33,663
6. Step 6: Final answer
   x = 157,862.29