Finding the Third Proportional to 37,706 and 78,513

Step by Step Solution

1. Step 1: Write the proportion equation
   37,706 : 78,513 = 78,513 : x
2. Step 2: Convert to fraction form
   37,706/78,513 = 78,513/x
3. Step 3: Cross multiply
   37,706x = 78,513 × 78,513
4. Step 4: Simplify right side
   37,706x = 6,164,291,169
5. Step 5: Solve for x
   x = 6,164,291,169/37,706
6. Step 6: Final answer
   x = 163,483.03