Finding the Third Proportional to 38,242 and 56,237.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,242 : 56,237.50 = 56,237.50 : x
2. Step 2: Convert to fraction form
   38,242/56,237.50 = 56,237.50/x
3. Step 3: Cross multiply
   38,242x = 56,237.50 × 56,237.50
4. Step 4: Simplify right side
   38,242x = 3,162,656,406.25
5. Step 5: Solve for x
   x = 3,162,656,406.25/38,242
6. Step 6: Final answer
   x = 82,701.12