Finding the Third Proportional to 37,948.50 and 83,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,948.50 : 83,278.50 = 83,278.50 : x
2. Step 2: Convert to fraction form
   37,948.50/83,278.50 = 83,278.50/x
3. Step 3: Cross multiply
   37,948.50x = 83,278.50 × 83,278.50
4. Step 4: Simplify right side
   37,948.50x = 6,935,308,562.25
5. Step 5: Solve for x
   x = 6,935,308,562.25/37,948.50
6. Step 6: Final answer
   x = 182,755.80