Finding the Third Proportional to 37,499.63 and 77,118.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,499.63 : 77,118.75 = 77,118.75 : x
2. Step 2: Convert to fraction form
   37,499.63/77,118.75 = 77,118.75/x
3. Step 3: Cross multiply
   37,499.63x = 77,118.75 × 77,118.75
4. Step 4: Simplify right side
   37,499.63x = 5,947,301,601.56
5. Step 5: Solve for x
   x = 5,947,301,601.56/37,499.63
6. Step 6: Final answer
   x = 158,596.30