Finding the Third Proportional to 37,422 and 83,151.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,422 : 83,151.56 = 83,151.56 : x
2. Step 2: Convert to fraction form
   37,422/83,151.56 = 83,151.56/x
3. Step 3: Cross multiply
   37,422x = 83,151.56 × 83,151.56
4. Step 4: Simplify right side
   37,422x = 6,914,182,346.19
5. Step 5: Solve for x
   x = 6,914,182,346.19/37,422
6. Step 6: Final answer
   x = 184,762.50