Finding the Third Proportional to 38,962.75 and 85,215.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,962.75 : 85,215.25 = 85,215.25 : x
2. Step 2: Convert to fraction form
   38,962.75/85,215.25 = 85,215.25/x
3. Step 3: Cross multiply
   38,962.75x = 85,215.25 × 85,215.25
4. Step 4: Simplify right side
   38,962.75x = 7,261,638,832.56
5. Step 5: Solve for x
   x = 7,261,638,832.56/38,962.75
6. Step 6: Final answer
   x = 186,373.88