Finding the Third Proportional to 37,462.50 and 78,388.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,462.50 : 78,388.13 = 78,388.13 : x
2. Step 2: Convert to fraction form
   37,462.50/78,388.13 = 78,388.13/x
3. Step 3: Cross multiply
   37,462.50x = 78,388.13 × 78,388.13
4. Step 4: Simplify right side
   37,462.50x = 6,144,698,141.02
5. Step 5: Solve for x
   x = 6,144,698,141.02/37,462.50
6. Step 6: Final answer
   x = 164,022.64