Finding the Third Proportional to 37,840 and 58,076

Step by Step Solution

1. Step 1: Write the proportion equation
   37,840 : 58,076 = 58,076 : x
2. Step 2: Convert to fraction form
   37,840/58,076 = 58,076/x
3. Step 3: Cross multiply
   37,840x = 58,076 × 58,076
4. Step 4: Simplify right side
   37,840x = 3,372,821,776
5. Step 5: Solve for x
   x = 3,372,821,776/37,840
6. Step 6: Final answer
   x = 89,133.77