Finding the Third Proportional to 37,617 and 78,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,617 : 78,386.50 = 78,386.50 : x
2. Step 2: Convert to fraction form
   37,617/78,386.50 = 78,386.50/x
3. Step 3: Cross multiply
   37,617x = 78,386.50 × 78,386.50
4. Step 4: Simplify right side
   37,617x = 6,144,443,382.25
5. Step 5: Solve for x
   x = 6,144,443,382.25/37,617
6. Step 6: Final answer
   x = 163,342.20