Finding the Third Proportional to 61,196 and 82,364

Step by Step Solution

1. Step 1: Write the proportion equation
   61,196 : 82,364 = 82,364 : x
2. Step 2: Convert to fraction form
   61,196/82,364 = 82,364/x
3. Step 3: Cross multiply
   61,196x = 82,364 × 82,364
4. Step 4: Simplify right side
   61,196x = 6,783,828,496
5. Step 5: Solve for x
   x = 6,783,828,496/61,196
6. Step 6: Final answer
   x = 110,854.12