Finding the Third Proportional to 19,386 and 42,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,386 : 42,781.50 = 42,781.50 : x
2. Step 2: Convert to fraction form
   19,386/42,781.50 = 42,781.50/x
3. Step 3: Cross multiply
   19,386x = 42,781.50 × 42,781.50
4. Step 4: Simplify right side
   19,386x = 1,830,256,742.25
5. Step 5: Solve for x
   x = 1,830,256,742.25/19,386
6. Step 6: Final answer
   x = 94,411.26