Finding the Third Proportional to 38,972 and 84,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,972 : 84,171.50 = 84,171.50 : x
2. Step 2: Convert to fraction form
   38,972/84,171.50 = 84,171.50/x
3. Step 3: Cross multiply
   38,972x = 84,171.50 × 84,171.50
4. Step 4: Simplify right side
   38,972x = 7,084,841,412.25
5. Step 5: Solve for x
   x = 7,084,841,412.25/38,972
6. Step 6: Final answer
   x = 181,793.12