Finding the Third Proportional to 34,047.75 and 74,813.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,047.75 : 74,813.25 = 74,813.25 : x
2. Step 2: Convert to fraction form
   34,047.75/74,813.25 = 74,813.25/x
3. Step 3: Cross multiply
   34,047.75x = 74,813.25 × 74,813.25
4. Step 4: Simplify right side
   34,047.75x = 5,597,022,375.56
5. Step 5: Solve for x
   x = 5,597,022,375.56/34,047.75
6. Step 6: Final answer
   x = 164,387.44