Finding the Third Proportional to 37,980 and 58,961

Step by Step Solution

1. Step 1: Write the proportion equation
   37,980 : 58,961 = 58,961 : x
2. Step 2: Convert to fraction form
   37,980/58,961 = 58,961/x
3. Step 3: Cross multiply
   37,980x = 58,961 × 58,961
4. Step 4: Simplify right side
   37,980x = 3,476,399,521
5. Step 5: Solve for x
   x = 3,476,399,521/37,980
6. Step 6: Final answer
   x = 91,532.37