Finding the Third Proportional to 37,232 and 72,595

Step by Step Solution

1. Step 1: Write the proportion equation
   37,232 : 72,595 = 72,595 : x
2. Step 2: Convert to fraction form
   37,232/72,595 = 72,595/x
3. Step 3: Cross multiply
   37,232x = 72,595 × 72,595
4. Step 4: Simplify right side
   37,232x = 5,270,034,025
5. Step 5: Solve for x
   x = 5,270,034,025/37,232
6. Step 6: Final answer
   x = 141,545.82