Finding the Third Proportional to 37,780.50 and 52,962

Step by Step Solution

1. Step 1: Write the proportion equation
   37,780.50 : 52,962 = 52,962 : x
2. Step 2: Convert to fraction form
   37,780.50/52,962 = 52,962/x
3. Step 3: Cross multiply
   37,780.50x = 52,962 × 52,962
4. Step 4: Simplify right side
   37,780.50x = 2,804,973,444
5. Step 5: Solve for x
   x = 2,804,973,444/37,780.50
6. Step 6: Final answer
   x = 74,243.95