Finding the Third Proportional to 34,791.75 and 75,901.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,791.75 : 75,901.50 = 75,901.50 : x
2. Step 2: Convert to fraction form
   34,791.75/75,901.50 = 75,901.50/x
3. Step 3: Cross multiply
   34,791.75x = 75,901.50 × 75,901.50
4. Step 4: Simplify right side
   34,791.75x = 5,761,037,702.25
5. Step 5: Solve for x
   x = 5,761,037,702.25/34,791.75
6. Step 6: Final answer
   x = 165,586.32