Finding the Third Proportional to 49,461.75 and 76,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,461.75 : 76,702.50 = 76,702.50 : x
2. Step 2: Convert to fraction form
   49,461.75/76,702.50 = 76,702.50/x
3. Step 3: Cross multiply
   49,461.75x = 76,702.50 × 76,702.50
4. Step 4: Simplify right side
   49,461.75x = 5,883,273,506.25
5. Step 5: Solve for x
   x = 5,883,273,506.25/49,461.75
6. Step 6: Final answer
   x = 118,945.92