Finding the Third Proportional to 37,340 and 57,820

Step by Step Solution

1. Step 1: Write the proportion equation
   37,340 : 57,820 = 57,820 : x
2. Step 2: Convert to fraction form
   37,340/57,820 = 57,820/x
3. Step 3: Cross multiply
   37,340x = 57,820 × 57,820
4. Step 4: Simplify right side
   37,340x = 3,343,152,400
5. Step 5: Solve for x
   x = 3,343,152,400/37,340
6. Step 6: Final answer
   x = 89,532.74