Finding the Third Proportional to 38,862.38 and 85,123.13

Step by Step Solution

1. Step 1: Write the proportion equation
   38,862.38 : 85,123.13 = 85,123.13 : x
2. Step 2: Convert to fraction form
   38,862.38/85,123.13 = 85,123.13/x
3. Step 3: Cross multiply
   38,862.38x = 85,123.13 × 85,123.13
4. Step 4: Simplify right side
   38,862.38x = 7,245,946,409.77
5. Step 5: Solve for x
   x = 7,245,946,409.77/38,862.38
6. Step 6: Final answer
   x = 186,451.46