Finding the Third Proportional to 30,518 and 64,316.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,518 : 64,316.50 = 64,316.50 : x
2. Step 2: Convert to fraction form
   30,518/64,316.50 = 64,316.50/x
3. Step 3: Cross multiply
   30,518x = 64,316.50 × 64,316.50
4. Step 4: Simplify right side
   30,518x = 4,136,612,172.25
5. Step 5: Solve for x
   x = 4,136,612,172.25/30,518
6. Step 6: Final answer
   x = 135,546.63