Finding the Third Proportional to 38,970 and 83,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,970 : 83,731.50 = 83,731.50 : x
2. Step 2: Convert to fraction form
   38,970/83,731.50 = 83,731.50/x
3. Step 3: Cross multiply
   38,970x = 83,731.50 × 83,731.50
4. Step 4: Simplify right side
   38,970x = 7,010,964,092.25
5. Step 5: Solve for x
   x = 7,010,964,092.25/38,970
6. Step 6: Final answer
   x = 179,906.70