Finding the Third Proportional to 38,017.69 and 78,445.13

Step by Step Solution

1. Step 1: Write the proportion equation
   38,017.69 : 78,445.13 = 78,445.13 : x
2. Step 2: Convert to fraction form
   38,017.69/78,445.13 = 78,445.13/x
3. Step 3: Cross multiply
   38,017.69x = 78,445.13 × 78,445.13
4. Step 4: Simplify right side
   38,017.69x = 6,153,637,636.27
5. Step 5: Solve for x
   x = 6,153,637,636.27/38,017.69
6. Step 6: Final answer
   x = 161,862.49