Finding the Third Proportional to 35,739 and 51,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,739 : 51,287.50 = 51,287.50 : x
2. Step 2: Convert to fraction form
   35,739/51,287.50 = 51,287.50/x
3. Step 3: Cross multiply
   35,739x = 51,287.50 × 51,287.50
4. Step 4: Simplify right side
   35,739x = 2,630,407,656.25
5. Step 5: Solve for x
   x = 2,630,407,656.25/35,739
6. Step 6: Final answer
   x = 73,600.48