Finding the Third Proportional to 37,862.44 and 78,188.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,862.44 : 78,188.63 = 78,188.63 : x
2. Step 2: Convert to fraction form
   37,862.44/78,188.63 = 78,188.63/x
3. Step 3: Cross multiply
   37,862.44x = 78,188.63 × 78,188.63
4. Step 4: Simplify right side
   37,862.44x = 6,113,461,079.39
5. Step 5: Solve for x
   x = 6,113,461,079.39/37,862.44
6. Step 6: Final answer
   x = 161,465.07