Finding the Third Proportional to 35,877 and 51,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,877 : 51,601.50 = 51,601.50 : x
2. Step 2: Convert to fraction form
   35,877/51,601.50 = 51,601.50/x
3. Step 3: Cross multiply
   35,877x = 51,601.50 × 51,601.50
4. Step 4: Simplify right side
   35,877x = 2,662,714,802.25
5. Step 5: Solve for x
   x = 2,662,714,802.25/35,877
6. Step 6: Final answer
   x = 74,217.88