Finding the Third Proportional to 37,099 and 55,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,099 : 55,648.50 = 55,648.50 : x
2. Step 2: Convert to fraction form
   37,099/55,648.50 = 55,648.50/x
3. Step 3: Cross multiply
   37,099x = 55,648.50 × 55,648.50
4. Step 4: Simplify right side
   37,099x = 3,096,755,552.25
5. Step 5: Solve for x
   x = 3,096,755,552.25/37,099
6. Step 6: Final answer
   x = 83,472.75