Finding the Third Proportional to 31,197 and 47,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,197 : 47,953.50 = 47,953.50 : x
2. Step 2: Convert to fraction form
   31,197/47,953.50 = 47,953.50/x
3. Step 3: Cross multiply
   31,197x = 47,953.50 × 47,953.50
4. Step 4: Simplify right side
   31,197x = 2,299,538,162.25
5. Step 5: Solve for x
   x = 2,299,538,162.25/31,197
6. Step 6: Final answer
   x = 73,710.23