Finding the Third Proportional to 34,553 and 72,588

Step by Step Solution

1. Step 1: Write the proportion equation
   34,553 : 72,588 = 72,588 : x
2. Step 2: Convert to fraction form
   34,553/72,588 = 72,588/x
3. Step 3: Cross multiply
   34,553x = 72,588 × 72,588
4. Step 4: Simplify right side
   34,553x = 5,269,017,744
5. Step 5: Solve for x
   x = 5,269,017,744/34,553
6. Step 6: Final answer
   x = 152,490.89