Finding the Third Proportional to 29,641.50 and 69,972.75

Step by Step Solution

1. Step 1: Write the proportion equation
   29,641.50 : 69,972.75 = 69,972.75 : x
2. Step 2: Convert to fraction form
   29,641.50/69,972.75 = 69,972.75/x
3. Step 3: Cross multiply
   29,641.50x = 69,972.75 × 69,972.75
4. Step 4: Simplify right side
   29,641.50x = 4,896,185,742.56
5. Step 5: Solve for x
   x = 4,896,185,742.56/29,641.50
6. Step 6: Final answer
   x = 165,180.09