Finding the Third Proportional to 30,097 and 64,083

Step by Step Solution

1. Step 1: Write the proportion equation
   30,097 : 64,083 = 64,083 : x
2. Step 2: Convert to fraction form
   30,097/64,083 = 64,083/x
3. Step 3: Cross multiply
   30,097x = 64,083 × 64,083
4. Step 4: Simplify right side
   30,097x = 4,106,630,889
5. Step 5: Solve for x
   x = 4,106,630,889/30,097
6. Step 6: Final answer
   x = 136,446.52