Finding the Third Proportional to 37,640 and 58,192

Step by Step Solution

1. Step 1: Write the proportion equation
   37,640 : 58,192 = 58,192 : x
2. Step 2: Convert to fraction form
   37,640/58,192 = 58,192/x
3. Step 3: Cross multiply
   37,640x = 58,192 × 58,192
4. Step 4: Simplify right side
   37,640x = 3,386,308,864
5. Step 5: Solve for x
   x = 3,386,308,864/37,640
6. Step 6: Final answer
   x = 89,965.70