Finding the Third Proportional to 38,768 and 61,488

Step by Step Solution

1. Step 1: Write the proportion equation
   38,768 : 61,488 = 61,488 : x
2. Step 2: Convert to fraction form
   38,768/61,488 = 61,488/x
3. Step 3: Cross multiply
   38,768x = 61,488 × 61,488
4. Step 4: Simplify right side
   38,768x = 3,780,774,144
5. Step 5: Solve for x
   x = 3,780,774,144/38,768
6. Step 6: Final answer
   x = 97,523.06