Finding the Third Proportional to 37,861 and 79,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,861 : 79,646.50 = 79,646.50 : x
2. Step 2: Convert to fraction form
   37,861/79,646.50 = 79,646.50/x
3. Step 3: Cross multiply
   37,861x = 79,646.50 × 79,646.50
4. Step 4: Simplify right side
   37,861x = 6,343,564,962.25
5. Step 5: Solve for x
   x = 6,343,564,962.25/37,861
6. Step 6: Final answer
   x = 167,548.80