Finding the Third Proportional to 35,854.50 and 52,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,854.50 : 52,546.50 = 52,546.50 : x
2. Step 2: Convert to fraction form
   35,854.50/52,546.50 = 52,546.50/x
3. Step 3: Cross multiply
   35,854.50x = 52,546.50 × 52,546.50
4. Step 4: Simplify right side
   35,854.50x = 2,761,134,662.25
5. Step 5: Solve for x
   x = 2,761,134,662.25/35,854.50
6. Step 6: Final answer
   x = 77,009.43