Finding the Third Proportional to 36,952.88 and 83,770.88

Step by Step Solution

1. Step 1: Write the proportion equation
   36,952.88 : 83,770.88 = 83,770.88 : x
2. Step 2: Convert to fraction form
   36,952.88/83,770.88 = 83,770.88/x
3. Step 3: Cross multiply
   36,952.88x = 83,770.88 × 83,770.88
4. Step 4: Simplify right side
   36,952.88x = 7,017,559,498.27
5. Step 5: Solve for x
   x = 7,017,559,498.27/36,952.88
6. Step 6: Final answer
   x = 189,905.64