Finding the Third Proportional to 37,201.78 and 56,138.06

Step by Step Solution

1. Step 1: Write the proportion equation
   37,201.78 : 56,138.06 = 56,138.06 : x
2. Step 2: Convert to fraction form
   37,201.78/56,138.06 = 56,138.06/x
3. Step 3: Cross multiply
   37,201.78x = 56,138.06 × 56,138.06
4. Step 4: Simplify right side
   37,201.78x = 3,151,482,061.25
5. Step 5: Solve for x
   x = 3,151,482,061.25/37,201.78
6. Step 6: Final answer
   x = 84,713.20