Finding the Third Proportional to 37,878 and 53,110.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,878 : 53,110.50 = 53,110.50 : x
2. Step 2: Convert to fraction form
   37,878/53,110.50 = 53,110.50/x
3. Step 3: Cross multiply
   37,878x = 53,110.50 × 53,110.50
4. Step 4: Simplify right side
   37,878x = 2,820,725,210.25
5. Step 5: Solve for x
   x = 2,820,725,210.25/37,878
6. Step 6: Final answer
   x = 74,468.69