Finding the Third Proportional to 58,662 and 84,064

Step by Step Solution

1. Step 1: Write the proportion equation
   58,662 : 84,064 = 84,064 : x
2. Step 2: Convert to fraction form
   58,662/84,064 = 84,064/x
3. Step 3: Cross multiply
   58,662x = 84,064 × 84,064
4. Step 4: Simplify right side
   58,662x = 7,066,756,096
5. Step 5: Solve for x
   x = 7,066,756,096/58,662
6. Step 6: Final answer
   x = 120,465.65