Finding the Third Proportional to 33,785 and 52,994.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,785 : 52,994.50 = 52,994.50 : x
2. Step 2: Convert to fraction form
   33,785/52,994.50 = 52,994.50/x
3. Step 3: Cross multiply
   33,785x = 52,994.50 × 52,994.50
4. Step 4: Simplify right side
   33,785x = 2,808,417,030.25
5. Step 5: Solve for x
   x = 2,808,417,030.25/33,785
6. Step 6: Final answer
   x = 83,126.15