Finding the Third Proportional to 30,186 and 64,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,186 : 64,972.50 = 64,972.50 : x
2. Step 2: Convert to fraction form
   30,186/64,972.50 = 64,972.50/x
3. Step 3: Cross multiply
   30,186x = 64,972.50 × 64,972.50
4. Step 4: Simplify right side
   30,186x = 4,221,425,756.25
5. Step 5: Solve for x
   x = 4,221,425,756.25/30,186
6. Step 6: Final answer
   x = 139,847.14