Finding the Third Proportional to 38,970.75 and 84,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,970.75 : 84,022.50 = 84,022.50 : x
2. Step 2: Convert to fraction form
   38,970.75/84,022.50 = 84,022.50/x
3. Step 3: Cross multiply
   38,970.75x = 84,022.50 × 84,022.50
4. Step 4: Simplify right side
   38,970.75x = 7,059,780,506.25
5. Step 5: Solve for x
   x = 7,059,780,506.25/38,970.75
6. Step 6: Final answer
   x = 181,155.88