Finding the Third Proportional to 33,906 and 51,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,906 : 51,106.50 = 51,106.50 : x
2. Step 2: Convert to fraction form
   33,906/51,106.50 = 51,106.50/x
3. Step 3: Cross multiply
   33,906x = 51,106.50 × 51,106.50
4. Step 4: Simplify right side
   33,906x = 2,611,874,342.25
5. Step 5: Solve for x
   x = 2,611,874,342.25/33,906
6. Step 6: Final answer
   x = 77,032.81