Finding the Third Proportional to 37,649.81 and 78,418.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,649.81 : 78,418.13 = 78,418.13 : x
2. Step 2: Convert to fraction form
   37,649.81/78,418.13 = 78,418.13/x
3. Step 3: Cross multiply
   37,649.81x = 78,418.13 × 78,418.13
4. Step 4: Simplify right side
   37,649.81x = 6,149,402,328.52
5. Step 5: Solve for x
   x = 6,149,402,328.52/37,649.81
6. Step 6: Final answer
   x = 163,331.55