Finding the Third Proportional to 38,864.25 and 83,061

Step by Step Solution

1. Step 1: Write the proportion equation
   38,864.25 : 83,061 = 83,061 : x
2. Step 2: Convert to fraction form
   38,864.25/83,061 = 83,061/x
3. Step 3: Cross multiply
   38,864.25x = 83,061 × 83,061
4. Step 4: Simplify right side
   38,864.25x = 6,899,129,721
5. Step 5: Solve for x
   x = 6,899,129,721/38,864.25
6. Step 6: Final answer
   x = 177,518.66