Finding the Third Proportional to 35,889 and 73,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,889 : 73,567.50 = 73,567.50 : x
2. Step 2: Convert to fraction form
   35,889/73,567.50 = 73,567.50/x
3. Step 3: Cross multiply
   35,889x = 73,567.50 × 73,567.50
4. Step 4: Simplify right side
   35,889x = 5,412,177,056.25
5. Step 5: Solve for x
   x = 5,412,177,056.25/35,889
6. Step 6: Final answer
   x = 150,803.23