Finding the Third Proportional to 37,886 and 59,301

Step by Step Solution

1. Step 1: Write the proportion equation
   37,886 : 59,301 = 59,301 : x
2. Step 2: Convert to fraction form
   37,886/59,301 = 59,301/x
3. Step 3: Cross multiply
   37,886x = 59,301 × 59,301
4. Step 4: Simplify right side
   37,886x = 3,516,608,601
5. Step 5: Solve for x
   x = 3,516,608,601/37,886
6. Step 6: Final answer
   x = 92,820.79