Finding the Third Proportional to 37,120 and 53,632

Step by Step Solution

1. Step 1: Write the proportion equation
   37,120 : 53,632 = 53,632 : x
2. Step 2: Convert to fraction form
   37,120/53,632 = 53,632/x
3. Step 3: Cross multiply
   37,120x = 53,632 × 53,632
4. Step 4: Simplify right side
   37,120x = 2,876,391,424
5. Step 5: Solve for x
   x = 2,876,391,424/37,120
6. Step 6: Final answer
   x = 77,488.99