Finding the Third Proportional to 35,962.50 and 54,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,962.50 : 54,445.50 = 54,445.50 : x
2. Step 2: Convert to fraction form
   35,962.50/54,445.50 = 54,445.50/x
3. Step 3: Cross multiply
   35,962.50x = 54,445.50 × 54,445.50
4. Step 4: Simplify right side
   35,962.50x = 2,964,312,470.25
5. Step 5: Solve for x
   x = 2,964,312,470.25/35,962.50
6. Step 6: Final answer
   x = 82,427.88