Finding the Third Proportional to 38,191.50 and 83,160

Step by Step Solution

1. Step 1: Write the proportion equation
   38,191.50 : 83,160 = 83,160 : x
2. Step 2: Convert to fraction form
   38,191.50/83,160 = 83,160/x
3. Step 3: Cross multiply
   38,191.50x = 83,160 × 83,160
4. Step 4: Simplify right side
   38,191.50x = 6,915,585,600
5. Step 5: Solve for x
   x = 6,915,585,600/38,191.50
6. Step 6: Final answer
   x = 181,076.56