Finding the Third Proportional to 37,687 and 55,407

Step by Step Solution

1. Step 1: Write the proportion equation
   37,687 : 55,407 = 55,407 : x
2. Step 2: Convert to fraction form
   37,687/55,407 = 55,407/x
3. Step 3: Cross multiply
   37,687x = 55,407 × 55,407
4. Step 4: Simplify right side
   37,687x = 3,069,935,649
5. Step 5: Solve for x
   x = 3,069,935,649/37,687
6. Step 6: Final answer
   x = 81,458.74