Finding the Third Proportional to 29,646 and 64,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,646 : 64,212.50 = 64,212.50 : x
2. Step 2: Convert to fraction form
   29,646/64,212.50 = 64,212.50/x
3. Step 3: Cross multiply
   29,646x = 64,212.50 × 64,212.50
4. Step 4: Simplify right side
   29,646x = 4,123,245,156.25
5. Step 5: Solve for x
   x = 4,123,245,156.25/29,646
6. Step 6: Final answer
   x = 139,082.68