Finding the Third Proportional to 31,973 and 48,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,973 : 48,405.50 = 48,405.50 : x
2. Step 2: Convert to fraction form
   31,973/48,405.50 = 48,405.50/x
3. Step 3: Cross multiply
   31,973x = 48,405.50 × 48,405.50
4. Step 4: Simplify right side
   31,973x = 2,343,092,430.25
5. Step 5: Solve for x
   x = 2,343,092,430.25/31,973
6. Step 6: Final answer
   x = 73,283.47