Finding the Third Proportional to 29,223 and 64,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,223 : 64,006.50 = 64,006.50 : x
2. Step 2: Convert to fraction form
   29,223/64,006.50 = 64,006.50/x
3. Step 3: Cross multiply
   29,223x = 64,006.50 × 64,006.50
4. Step 4: Simplify right side
   29,223x = 4,096,832,042.25
5. Step 5: Solve for x
   x = 4,096,832,042.25/29,223
6. Step 6: Final answer
   x = 140,192.04