Finding the Third Proportional to 30,006 and 64,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,006 : 64,552.50 = 64,552.50 : x
2. Step 2: Convert to fraction form
   30,006/64,552.50 = 64,552.50/x
3. Step 3: Cross multiply
   30,006x = 64,552.50 × 64,552.50
4. Step 4: Simplify right side
   30,006x = 4,167,025,256.25
5. Step 5: Solve for x
   x = 4,167,025,256.25/30,006
6. Step 6: Final answer
   x = 138,873.07