Finding the Third Proportional to 38,224 and 59,064

Step by Step Solution

1. Step 1: Write the proportion equation
   38,224 : 59,064 = 59,064 : x
2. Step 2: Convert to fraction form
   38,224/59,064 = 59,064/x
3. Step 3: Cross multiply
   38,224x = 59,064 × 59,064
4. Step 4: Simplify right side
   38,224x = 3,488,556,096
5. Step 5: Solve for x
   x = 3,488,556,096/38,224
6. Step 6: Final answer
   x = 91,266.12