Finding the Third Proportional to 37,138.50 and 77,947.31

Step by Step Solution

1. Step 1: Write the proportion equation
   37,138.50 : 77,947.31 = 77,947.31 : x
2. Step 2: Convert to fraction form
   37,138.50/77,947.31 = 77,947.31/x
3. Step 3: Cross multiply
   37,138.50x = 77,947.31 × 77,947.31
4. Step 4: Simplify right side
   37,138.50x = 6,075,783,525.97
5. Step 5: Solve for x
   x = 6,075,783,525.97/37,138.50
6. Step 6: Final answer
   x = 163,597.98