Finding the Third Proportional to 37,335 and 78,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,335 : 78,127.50 = 78,127.50 : x
2. Step 2: Convert to fraction form
   37,335/78,127.50 = 78,127.50/x
3. Step 3: Cross multiply
   37,335x = 78,127.50 × 78,127.50
4. Step 4: Simplify right side
   37,335x = 6,103,906,256.25
5. Step 5: Solve for x
   x = 6,103,906,256.25/37,335
6. Step 6: Final answer
   x = 163,490.19