Finding the Third Proportional to 37,894.50 and 56,106

Step by Step Solution

1. Step 1: Write the proportion equation
   37,894.50 : 56,106 = 56,106 : x
2. Step 2: Convert to fraction form
   37,894.50/56,106 = 56,106/x
3. Step 3: Cross multiply
   37,894.50x = 56,106 × 56,106
4. Step 4: Simplify right side
   37,894.50x = 3,147,883,236
5. Step 5: Solve for x
   x = 3,147,883,236/37,894.50
6. Step 6: Final answer
   x = 83,069.66