Finding the Third Proportional to 31,597.50 and 47,477.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,597.50 : 47,477.25 = 47,477.25 : x
2. Step 2: Convert to fraction form
   31,597.50/47,477.25 = 47,477.25/x
3. Step 3: Cross multiply
   31,597.50x = 47,477.25 × 47,477.25
4. Step 4: Simplify right side
   31,597.50x = 2,254,089,267.56
5. Step 5: Solve for x
   x = 2,254,089,267.56/31,597.50
6. Step 6: Final answer
   x = 71,337.58