Finding the Third Proportional to 38,814.19 and 84,898.13

Step by Step Solution

1. Step 1: Write the proportion equation
   38,814.19 : 84,898.13 = 84,898.13 : x
2. Step 2: Convert to fraction form
   38,814.19/84,898.13 = 84,898.13/x
3. Step 3: Cross multiply
   38,814.19x = 84,898.13 × 84,898.13
4. Step 4: Simplify right side
   38,814.19x = 7,207,691,628.52
5. Step 5: Solve for x
   x = 7,207,691,628.52/38,814.19
6. Step 6: Final answer
   x = 185,697.35