Finding the Third Proportional to 37,822 and 58,826

Step by Step Solution

1. Step 1: Write the proportion equation
   37,822 : 58,826 = 58,826 : x
2. Step 2: Convert to fraction form
   37,822/58,826 = 58,826/x
3. Step 3: Cross multiply
   37,822x = 58,826 × 58,826
4. Step 4: Simplify right side
   37,822x = 3,460,498,276
5. Step 5: Solve for x
   x = 3,460,498,276/37,822
6. Step 6: Final answer
   x = 91,494.32