Finding the Third Proportional to 37,916 and 59,362

Step by Step Solution

1. Step 1: Write the proportion equation
   37,916 : 59,362 = 59,362 : x
2. Step 2: Convert to fraction form
   37,916/59,362 = 59,362/x
3. Step 3: Cross multiply
   37,916x = 59,362 × 59,362
4. Step 4: Simplify right side
   37,916x = 3,523,847,044
5. Step 5: Solve for x
   x = 3,523,847,044/37,916
6. Step 6: Final answer
   x = 92,938.26