Finding the Third Proportional to 33,973 and 51,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,973 : 51,472.50 = 51,472.50 : x
2. Step 2: Convert to fraction form
   33,973/51,472.50 = 51,472.50/x
3. Step 3: Cross multiply
   33,973x = 51,472.50 × 51,472.50
4. Step 4: Simplify right side
   33,973x = 2,649,418,256.25
5. Step 5: Solve for x
   x = 2,649,418,256.25/33,973
6. Step 6: Final answer
   x = 77,986.00