Finding the Third Proportional to 37,880 and 59,292

Step by Step Solution

1. Step 1: Write the proportion equation
   37,880 : 59,292 = 59,292 : x
2. Step 2: Convert to fraction form
   37,880/59,292 = 59,292/x
3. Step 3: Cross multiply
   37,880x = 59,292 × 59,292
4. Step 4: Simplify right side
   37,880x = 3,515,541,264
5. Step 5: Solve for x
   x = 3,515,541,264/37,880
6. Step 6: Final answer
   x = 92,807.32