Finding the Third Proportional to 38,770.31 and 83,895.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,770.31 : 83,895.75 = 83,895.75 : x
2. Step 2: Convert to fraction form
   38,770.31/83,895.75 = 83,895.75/x
3. Step 3: Cross multiply
   38,770.31x = 83,895.75 × 83,895.75
4. Step 4: Simplify right side
   38,770.31x = 7,038,496,868.06
5. Step 5: Solve for x
   x = 7,038,496,868.06/38,770.31
6. Step 6: Final answer
   x = 181,543.46