Finding the Third Proportional to 38,980.13 and 84,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,980.13 : 84,196.50 = 84,196.50 : x
2. Step 2: Convert to fraction form
   38,980.13/84,196.50 = 84,196.50/x
3. Step 3: Cross multiply
   38,980.13x = 84,196.50 × 84,196.50
4. Step 4: Simplify right side
   38,980.13x = 7,089,050,612.25
5. Step 5: Solve for x
   x = 7,089,050,612.25/38,980.13
6. Step 6: Final answer
   x = 181,863.21