Finding the Third Proportional to 31,501.50 and 37,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,501.50 : 37,972.50 = 37,972.50 : x
2. Step 2: Convert to fraction form
   31,501.50/37,972.50 = 37,972.50/x
3. Step 3: Cross multiply
   31,501.50x = 37,972.50 × 37,972.50
4. Step 4: Simplify right side
   31,501.50x = 1,441,910,756.25
5. Step 5: Solve for x
   x = 1,441,910,756.25/31,501.50
6. Step 6: Final answer
   x = 45,772.76