Finding the Third Proportional to 37,470 and 55,632

Step by Step Solution

1. Step 1: Write the proportion equation
   37,470 : 55,632 = 55,632 : x
2. Step 2: Convert to fraction form
   37,470/55,632 = 55,632/x
3. Step 3: Cross multiply
   37,470x = 55,632 × 55,632
4. Step 4: Simplify right side
   37,470x = 3,094,919,424
5. Step 5: Solve for x
   x = 3,094,919,424/37,470
6. Step 6: Final answer
   x = 82,597.26