Finding the Third Proportional to 37,152 and 81,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,152 : 81,094.50 = 81,094.50 : x
2. Step 2: Convert to fraction form
   37,152/81,094.50 = 81,094.50/x
3. Step 3: Cross multiply
   37,152x = 81,094.50 × 81,094.50
4. Step 4: Simplify right side
   37,152x = 6,576,317,930.25
5. Step 5: Solve for x
   x = 6,576,317,930.25/37,152
6. Step 6: Final answer
   x = 177,011.14