Finding the Third Proportional to 37,594 and 58,182

Step by Step Solution

1. Step 1: Write the proportion equation
   37,594 : 58,182 = 58,182 : x
2. Step 2: Convert to fraction form
   37,594/58,182 = 58,182/x
3. Step 3: Cross multiply
   37,594x = 58,182 × 58,182
4. Step 4: Simplify right side
   37,594x = 3,385,145,124
5. Step 5: Solve for x
   x = 3,385,145,124/37,594
6. Step 6: Final answer
   x = 90,044.82