Finding the Third Proportional to 30,023 and 64,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,023 : 64,684.50 = 64,684.50 : x
2. Step 2: Convert to fraction form
   30,023/64,684.50 = 64,684.50/x
3. Step 3: Cross multiply
   30,023x = 64,684.50 × 64,684.50
4. Step 4: Simplify right side
   30,023x = 4,184,084,540.25
5. Step 5: Solve for x
   x = 4,184,084,540.25/30,023
6. Step 6: Final answer
   x = 139,362.64