Finding the Third Proportional to 30,801.75 and 75,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,801.75 : 75,637.50 = 75,637.50 : x
2. Step 2: Convert to fraction form
   30,801.75/75,637.50 = 75,637.50/x
3. Step 3: Cross multiply
   30,801.75x = 75,637.50 × 75,637.50
4. Step 4: Simplify right side
   30,801.75x = 5,721,031,406.25
5. Step 5: Solve for x
   x = 5,721,031,406.25/30,801.75
6. Step 6: Final answer
   x = 185,737.22