Finding the Third Proportional to 37,662 and 58,350

Step by Step Solution

1. Step 1: Write the proportion equation
   37,662 : 58,350 = 58,350 : x
2. Step 2: Convert to fraction form
   37,662/58,350 = 58,350/x
3. Step 3: Cross multiply
   37,662x = 58,350 × 58,350
4. Step 4: Simplify right side
   37,662x = 3,404,722,500
5. Step 5: Solve for x
   x = 3,404,722,500/37,662
6. Step 6: Final answer
   x = 90,402.06